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Finding the Fourth Proportional to 1,516,521,639.40, 2,125,996,839.80 and 1,516,521,639.40

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Solution

The fourth proportional to 1,516,521,639.40, 2,125,996,839.80 and 1,516,521,639.40 is: 2,125,996,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516,521,639.40 : 2,125,996,839.80 = 1,516,521,639.40 : x
  2. Step 2: Convert to fraction form
    1,516,521,639.40/2,125,996,839.80 = 1,516,521,639.40/x
  3. Step 3: Cross multiply
    1,516,521,639.40x = 2,125,996,839.80 × 1,516,521,639.40
  4. Step 4: Simplify right side
    1,516,521,639.40x = 3,224,120,212,852,715,520
  5. Step 5: Solve for x
    x = 3,224,120,212,852,715,520/1,516,521,639.40
  6. Step 6: Final answer
    x = 2,125,996,839.80

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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.