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Finding the Fourth Proportional to 838,512,658.20, 1,258,902,728.10 and 532,402,642.20

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Solution

The fourth proportional to 838,512,658.20, 1,258,902,728.10 and 532,402,642.20 is: 799,323,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,512,658.20 : 1,258,902,728.10 = 532,402,642.20 : x
  2. Step 2: Convert to fraction form
    838,512,658.20/1,258,902,728.10 = 532,402,642.20/x
  3. Step 3: Cross multiply
    838,512,658.20x = 1,258,902,728.10 × 532,402,642.20
  4. Step 4: Simplify right side
    838,512,658.20x = 670,243,138,713,228,160
  5. Step 5: Solve for x
    x = 670,243,138,713,228,160/838,512,658.20
  6. Step 6: Final answer
    x = 799,323,817.19

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