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Finding the Fourth Proportional to 406,944,456.90, 570,487,514.70 and 406,944,456.90

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Solution

The fourth proportional to 406,944,456.90, 570,487,514.70 and 406,944,456.90 is: 570,487,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,944,456.90 : 570,487,514.70 = 406,944,456.90 : x
  2. Step 2: Convert to fraction form
    406,944,456.90/570,487,514.70 = 406,944,456.90/x
  3. Step 3: Cross multiply
    406,944,456.90x = 570,487,514.70 × 406,944,456.90
  4. Step 4: Simplify right side
    406,944,456.90x = 232,156,731,837,822,272
  5. Step 5: Solve for x
    x = 232,156,731,837,822,272/406,944,456.90
  6. Step 6: Final answer
    x = 570,487,514.70

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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.