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Finding the Fourth Proportional to 781,281,627.54, 1,078,169,827.15 and 424,049,532.47

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Solution

The fourth proportional to 781,281,627.54, 1,078,169,827.15 and 424,049,532.47 is: 585,188,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,281,627.54 : 1,078,169,827.15 = 424,049,532.47 : x
  2. Step 2: Convert to fraction form
    781,281,627.54/1,078,169,827.15 = 424,049,532.47/x
  3. Step 3: Cross multiply
    781,281,627.54x = 1,078,169,827.15 × 424,049,532.47
  4. Step 4: Simplify right side
    781,281,627.54x = 457,197,411,126,218,304
  5. Step 5: Solve for x
    x = 457,197,411,126,218,304/781,281,627.54
  6. Step 6: Final answer
    x = 585,188,995.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.