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Finding the Fourth Proportional to 29,832,508.80, 41,878,886.40 and 29,832,508.80

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Solution

The fourth proportional to 29,832,508.80, 41,878,886.40 and 29,832,508.80 is: 41,878,886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832,508.80 : 41,878,886.40 = 29,832,508.80 : x
  2. Step 2: Convert to fraction form
    29,832,508.80/41,878,886.40 = 29,832,508.80/x
  3. Step 3: Cross multiply
    29,832,508.80x = 41,878,886.40 × 29,832,508.80
  4. Step 4: Simplify right side
    29,832,508.80x = 1,249,352,247,062,200.25
  5. Step 5: Solve for x
    x = 1,249,352,247,062,200.25/29,832,508.80
  6. Step 6: Final answer
    x = 41,878,886.40

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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.