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Finding the Fourth Proportional to 706,399,675.84, 1,059,610,750.50 and 393,256,061.78

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Solution

The fourth proportional to 706,399,675.84, 1,059,610,750.50 and 393,256,061.78 is: 589,890,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,399,675.84 : 1,059,610,750.50 = 393,256,061.78 : x
  2. Step 2: Convert to fraction form
    706,399,675.84/1,059,610,750.50 = 393,256,061.78/x
  3. Step 3: Cross multiply
    706,399,675.84x = 1,059,610,750.50 × 393,256,061.78
  4. Step 4: Simplify right side
    706,399,675.84x = 416,698,350,764,013,376
  5. Step 5: Solve for x
    x = 416,698,350,764,013,376/706,399,675.84
  6. Step 6: Final answer
    x = 589,890,348.22

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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.