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Finding the Fourth Proportional to 497,604,281.70, 746,406,422.55 and 316,653,651.30

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Solution

The fourth proportional to 497,604,281.70, 746,406,422.55 and 316,653,651.30 is: 474,980,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,604,281.70 : 746,406,422.55 = 316,653,651.30 : x
  2. Step 2: Convert to fraction form
    497,604,281.70/746,406,422.55 = 316,653,651.30/x
  3. Step 3: Cross multiply
    497,604,281.70x = 746,406,422.55 × 316,653,651.30
  4. Step 4: Simplify right side
    497,604,281.70x = 236,352,319,054,228,160
  5. Step 5: Solve for x
    x = 236,352,319,054,228,160/497,604,281.70
  6. Step 6: Final answer
    x = 474,980,476.95

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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.