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Finding the Fourth Proportional to 497,668,278.40, 746,502,417.60 and 474,993,462.40

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Solution

The fourth proportional to 497,668,278.40, 746,502,417.60 and 474,993,462.40 is: 712,490,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,668,278.40 : 746,502,417.60 = 474,993,462.40 : x
  2. Step 2: Convert to fraction form
    497,668,278.40/746,502,417.60 = 474,993,462.40/x
  3. Step 3: Cross multiply
    497,668,278.40x = 746,502,417.60 × 474,993,462.40
  4. Step 4: Simplify right side
    497,668,278.40x = 354,583,768,025,794,688
  5. Step 5: Solve for x
    x = 354,583,768,025,794,688/497,668,278.40
  6. Step 6: Final answer
    x = 712,490,193.60

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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.