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Finding the Fourth Proportional to 3,185,461,728,200.50, 4,778,192,592,301.10 and 3,185,461,728,200.50

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Solution

The fourth proportional to 3,185,461,728,200.50, 4,778,192,592,301.10 and 3,185,461,728,200.50 is: 4,778,192,592,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185,461,728,200.50 : 4,778,192,592,301.10 = 3,185,461,728,200.50 : x
  2. Step 2: Convert to fraction form
    3,185,461,728,200.50/4,778,192,592,301.10 = 3,185,461,728,200.50/x
  3. Step 3: Cross multiply
    3,185,461,728,200.50x = 4,778,192,592,301.10 × 3,185,461,728,200.50
  4. Step 4: Simplify right side
    3,185,461,728,200.50x = 15,220,749,632,746,287,978,774,528
  5. Step 5: Solve for x
    x = 15,220,749,632,746,287,978,774,528/3,185,461,728,200.50
  6. Step 6: Final answer
    x = 4,778,192,592,301.10

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.