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Finding the Fourth Proportional to 297,214,272,046.40, 417,275,443,326.40 and 297,214,272,046.40

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Solution

The fourth proportional to 297,214,272,046.40, 417,275,443,326.40 and 297,214,272,046.40 is: 417,275,443,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,214,272,046.40 : 417,275,443,326.40 = 297,214,272,046.40 : x
  2. Step 2: Convert to fraction form
    297,214,272,046.40/417,275,443,326.40 = 297,214,272,046.40/x
  3. Step 3: Cross multiply
    297,214,272,046.40x = 417,275,443,326.40 × 297,214,272,046.40
  4. Step 4: Simplify right side
    297,214,272,046.40x = 124,020,217,131,094,824,189,952
  5. Step 5: Solve for x
    x = 124,020,217,131,094,824,189,952/297,214,272,046.40
  6. Step 6: Final answer
    x = 417,275,443,326.40

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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.