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Finding the Fourth Proportional to 463,671,842.94, 639,882,488.61 and 254,835,387.90

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Solution

The fourth proportional to 463,671,842.94, 639,882,488.61 and 254,835,387.90 is: 351,681,269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,671,842.94 : 639,882,488.61 = 254,835,387.90 : x
  2. Step 2: Convert to fraction form
    463,671,842.94/639,882,488.61 = 254,835,387.90/x
  3. Step 3: Cross multiply
    463,671,842.94x = 639,882,488.61 × 254,835,387.90
  4. Step 4: Simplify right side
    463,671,842.94x = 163,064,702,195,346,688
  5. Step 5: Solve for x
    x = 163,064,702,195,346,688/463,671,842.94
  6. Step 6: Final answer
    x = 351,681,269.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.