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Finding the Fourth Proportional to 115,101,199.40, 172,651,799.10 and 115,101,199.40

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Solution

The fourth proportional to 115,101,199.40, 172,651,799.10 and 115,101,199.40 is: 172,651,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,101,199.40 : 172,651,799.10 = 115,101,199.40 : x
  2. Step 2: Convert to fraction form
    115,101,199.40/172,651,799.10 = 115,101,199.40/x
  3. Step 3: Cross multiply
    115,101,199.40x = 172,651,799.10 × 115,101,199.40
  4. Step 4: Simplify right side
    115,101,199.40x = 19,872,429,154,977,840
  5. Step 5: Solve for x
    x = 19,872,429,154,977,840/115,101,199.40
  6. Step 6: Final answer
    x = 172,651,799.10

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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.