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Finding the Fourth Proportional to 3,185,461,728,157, 4,778,192,592,235.50 and 3,185,461,728,157

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Solution

The fourth proportional to 3,185,461,728,157, 4,778,192,592,235.50 and 3,185,461,728,157 is: 4,778,192,592,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185,461,728,157 : 4,778,192,592,235.50 = 3,185,461,728,157 : x
  2. Step 2: Convert to fraction form
    3,185,461,728,157/4,778,192,592,235.50 = 3,185,461,728,157/x
  3. Step 3: Cross multiply
    3,185,461,728,157x = 4,778,192,592,235.50 × 3,185,461,728,157
  4. Step 4: Simplify right side
    3,185,461,728,157x = 15,220,749,632,329,472,140,115,968
  5. Step 5: Solve for x
    x = 15,220,749,632,329,472,140,115,968/3,185,461,728,157
  6. Step 6: Final answer
    x = 4,778,192,592,235.50

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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.