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Finding the Fourth Proportional to 5,229,176,670.15, 7,843,765,005.23 and 5,229,176,670.15

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Solution

The fourth proportional to 5,229,176,670.15, 7,843,765,005.23 and 5,229,176,670.15 is: 7,843,765,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229,176,670.15 : 7,843,765,005.23 = 5,229,176,670.15 : x
  2. Step 2: Convert to fraction form
    5,229,176,670.15/7,843,765,005.23 = 5,229,176,670.15/x
  3. Step 3: Cross multiply
    5,229,176,670.15x = 7,843,765,005.23 × 5,229,176,670.15
  4. Step 4: Simplify right side
    5,229,176,670.15x = 41,016,432,971,461,558,272
  5. Step 5: Solve for x
    x = 41,016,432,971,461,558,272/5,229,176,670.15
  6. Step 6: Final answer
    x = 7,843,765,005.23

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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.