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Finding the Fourth Proportional to 539,656,706.07, 809,484,957.05 and 294,219,734.40

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Solution

The fourth proportional to 539,656,706.07, 809,484,957.05 and 294,219,734.40 is: 441,329,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,656,706.07 : 809,484,957.05 = 294,219,734.40 : x
  2. Step 2: Convert to fraction form
    539,656,706.07/809,484,957.05 = 294,219,734.40/x
  3. Step 3: Cross multiply
    539,656,706.07x = 809,484,957.05 × 294,219,734.40
  4. Step 4: Simplify right side
    539,656,706.07x = 238,166,449,062,575,264
  5. Step 5: Solve for x
    x = 238,166,449,062,575,264/539,656,706.07
  6. Step 6: Final answer
    x = 441,329,545.96

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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.