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Finding the Fourth Proportional to 497,668,309.80, 746,502,464.70 and 174,510,191.40

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Solution

The fourth proportional to 497,668,309.80, 746,502,464.70 and 174,510,191.40 is: 261,765,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,668,309.80 : 746,502,464.70 = 174,510,191.40 : x
  2. Step 2: Convert to fraction form
    497,668,309.80/746,502,464.70 = 174,510,191.40/x
  3. Step 3: Cross multiply
    497,668,309.80x = 746,502,464.70 × 174,510,191.40
  4. Step 4: Simplify right side
    497,668,309.80x = 130,272,287,995,368,752
  5. Step 5: Solve for x
    x = 130,272,287,995,368,752/497,668,309.80
  6. Step 6: Final answer
    x = 261,765,287.10

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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.