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Finding the Fourth Proportional to 465,696,061.70, 698,446,114.95 and 235,448,701.70

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Solution

The fourth proportional to 465,696,061.70, 698,446,114.95 and 235,448,701.70 is: 353,123,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,696,061.70 : 698,446,114.95 = 235,448,701.70 : x
  2. Step 2: Convert to fraction form
    465,696,061.70/698,446,114.95 = 235,448,701.70/x
  3. Step 3: Cross multiply
    465,696,061.70x = 698,446,114.95 × 235,448,701.70
  4. Step 4: Simplify right side
    465,696,061.70x = 164,448,230,972,386,464
  5. Step 5: Solve for x
    x = 164,448,230,972,386,464/465,696,061.70
  6. Step 6: Final answer
    x = 353,123,516.60

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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.