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Finding the Fourth Proportional to 510,023,489.60, 715,393,374.40 and 510,023,489.60

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Solution

The fourth proportional to 510,023,489.60, 715,393,374.40 and 510,023,489.60 is: 715,393,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,023,489.60 : 715,393,374.40 = 510,023,489.60 : x
  2. Step 2: Convert to fraction form
    510,023,489.60/715,393,374.40 = 510,023,489.60/x
  3. Step 3: Cross multiply
    510,023,489.60x = 715,393,374.40 × 510,023,489.60
  4. Step 4: Simplify right side
    510,023,489.60x = 364,867,425,248,207,296
  5. Step 5: Solve for x
    x = 364,867,425,248,207,296/510,023,489.60
  6. Step 6: Final answer
    x = 715,393,374.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.