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Finding the Fourth Proportional to 1,165,436,467.30, 1,748,154,700.95 and 1,165,436,467.30

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Solution

The fourth proportional to 1,165,436,467.30, 1,748,154,700.95 and 1,165,436,467.30 is: 1,748,154,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,436,467.30 : 1,748,154,700.95 = 1,165,436,467.30 : x
  2. Step 2: Convert to fraction form
    1,165,436,467.30/1,748,154,700.95 = 1,165,436,467.30/x
  3. Step 3: Cross multiply
    1,165,436,467.30x = 1,748,154,700.95 × 1,165,436,467.30
  4. Step 4: Simplify right side
    1,165,436,467.30x = 2,037,363,238,969,056,000
  5. Step 5: Solve for x
    x = 2,037,363,238,969,056,000/1,165,436,467.30
  6. Step 6: Final answer
    x = 1,748,154,700.95

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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.