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Finding the Fourth Proportional to 460,924,211.40, 691,386,317.10 and 460,924,211.40

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Solution

The fourth proportional to 460,924,211.40, 691,386,317.10 and 460,924,211.40 is: 691,386,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,924,211.40 : 691,386,317.10 = 460,924,211.40 : x
  2. Step 2: Convert to fraction form
    460,924,211.40/691,386,317.10 = 460,924,211.40/x
  3. Step 3: Cross multiply
    460,924,211.40x = 691,386,317.10 × 460,924,211.40
  4. Step 4: Simplify right side
    460,924,211.40x = 318,676,692,982,067,840
  5. Step 5: Solve for x
    x = 318,676,692,982,067,840/460,924,211.40
  6. Step 6: Final answer
    x = 691,386,317.10

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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.