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Finding the Fourth Proportional to 338,291,312.80, 472,587,471.20 and 338,291,312.80

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Solution

The fourth proportional to 338,291,312.80, 472,587,471.20 and 338,291,312.80 is: 472,587,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,291,312.80 : 472,587,471.20 = 338,291,312.80 : x
  2. Step 2: Convert to fraction form
    338,291,312.80/472,587,471.20 = 338,291,312.80/x
  3. Step 3: Cross multiply
    338,291,312.80x = 472,587,471.20 × 338,291,312.80
  4. Step 4: Simplify right side
    338,291,312.80x = 159,872,236,045,080,192
  5. Step 5: Solve for x
    x = 159,872,236,045,080,192/338,291,312.80
  6. Step 6: Final answer
    x = 472,587,471.20

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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.