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Finding the Fourth Proportional to 542,829,817.60, 814,244,726.40 and 542,829,817.60

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Solution

The fourth proportional to 542,829,817.60, 814,244,726.40 and 542,829,817.60 is: 814,244,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,829,817.60 : 814,244,726.40 = 542,829,817.60 : x
  2. Step 2: Convert to fraction form
    542,829,817.60/814,244,726.40 = 542,829,817.60/x
  3. Step 3: Cross multiply
    542,829,817.60x = 814,244,726.40 × 542,829,817.60
  4. Step 4: Simplify right side
    542,829,817.60x = 441,996,316,313,473,920
  5. Step 5: Solve for x
    x = 441,996,316,313,473,920/542,829,817.60
  6. Step 6: Final answer
    x = 814,244,726.40

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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.