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Finding the Fourth Proportional to 265,712,326.80, 398,736,451.80 and 156,537,286.80

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Solution

The fourth proportional to 265,712,326.80, 398,736,451.80 and 156,537,286.80 is: 234,904,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,712,326.80 : 398,736,451.80 = 156,537,286.80 : x
  2. Step 2: Convert to fraction form
    265,712,326.80/398,736,451.80 = 156,537,286.80/x
  3. Step 3: Cross multiply
    265,712,326.80x = 398,736,451.80 × 156,537,286.80
  4. Step 4: Simplify right side
    265,712,326.80x = 62,417,122,313,030,984
  5. Step 5: Solve for x
    x = 62,417,122,313,030,984/265,712,326.80
  6. Step 6: Final answer
    x = 234,904,880.27

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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.