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Finding the Fourth Proportional to 676,899,820.80, 1,015,349,731.20 and 676,899,820.80

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Solution

The fourth proportional to 676,899,820.80, 1,015,349,731.20 and 676,899,820.80 is: 1,015,349,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,899,820.80 : 1,015,349,731.20 = 676,899,820.80 : x
  2. Step 2: Convert to fraction form
    676,899,820.80/1,015,349,731.20 = 676,899,820.80/x
  3. Step 3: Cross multiply
    676,899,820.80x = 1,015,349,731.20 × 676,899,820.80
  4. Step 4: Simplify right side
    676,899,820.80x = 687,290,051,098,608,128
  5. Step 5: Solve for x
    x = 687,290,051,098,608,128/676,899,820.80
  6. Step 6: Final answer
    x = 1,015,349,731.20

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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.