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Finding the Fourth Proportional to 497,668,313.80, 746,502,470.70 and 174,510,195.40

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Solution

The fourth proportional to 497,668,313.80, 746,502,470.70 and 174,510,195.40 is: 261,765,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,668,313.80 : 746,502,470.70 = 174,510,195.40 : x
  2. Step 2: Convert to fraction form
    497,668,313.80/746,502,470.70 = 174,510,195.40/x
  3. Step 3: Cross multiply
    497,668,313.80x = 746,502,470.70 × 174,510,195.40
  4. Step 4: Simplify right side
    497,668,313.80x = 130,272,292,028,439,792
  5. Step 5: Solve for x
    x = 130,272,292,028,439,792/497,668,313.80
  6. Step 6: Final answer
    x = 261,765,293.10

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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.