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Finding the Fourth Proportional to 314,930,689.20, 472,396,033.80 and 286,232,875.20

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Solution

The fourth proportional to 314,930,689.20, 472,396,033.80 and 286,232,875.20 is: 429,349,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,930,689.20 : 472,396,033.80 = 286,232,875.20 : x
  2. Step 2: Convert to fraction form
    314,930,689.20/472,396,033.80 = 286,232,875.20/x
  3. Step 3: Cross multiply
    314,930,689.20x = 472,396,033.80 × 286,232,875.20
  4. Step 4: Simplify right side
    314,930,689.20x = 135,215,274,987,650,384
  5. Step 5: Solve for x
    x = 135,215,274,987,650,384/314,930,689.20
  6. Step 6: Final answer
    x = 429,349,312.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.