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Finding the Fourth Proportional to 1,169,894,819.08, 1,754,842,122.06 and 514,845,845.16

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Solution

The fourth proportional to 1,169,894,819.08, 1,754,842,122.06 and 514,845,845.16 is: 772,268,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,894,819.08 : 1,754,842,122.06 = 514,845,845.16 : x
  2. Step 2: Convert to fraction form
    1,169,894,819.08/1,754,842,122.06 = 514,845,845.16/x
  3. Step 3: Cross multiply
    1,169,894,819.08x = 1,754,842,122.06 × 514,845,845.16
  4. Step 4: Simplify right side
    1,169,894,819.08x = 903,473,175,454,348,544
  5. Step 5: Solve for x
    x = 903,473,175,454,348,544/1,169,894,819.08
  6. Step 6: Final answer
    x = 772,268,720.85

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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.