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Finding the Fourth Proportional to 1,005,518,448,218, 1,508,277,672,326.90 and 1,005,518,448,218

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Solution

The fourth proportional to 1,005,518,448,218, 1,508,277,672,326.90 and 1,005,518,448,218 is: 1,508,277,672,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,518,448,218 : 1,508,277,672,326.90 = 1,005,518,448,218 : x
  2. Step 2: Convert to fraction form
    1,005,518,448,218/1,508,277,672,326.90 = 1,005,518,448,218/x
  3. Step 3: Cross multiply
    1,005,518,448,218x = 1,508,277,672,326.90 × 1,005,518,448,218
  4. Step 4: Simplify right side
    1,005,518,448,218x = 1,516,601,024,560,001,594,687,488
  5. Step 5: Solve for x
    x = 1,516,601,024,560,001,594,687,488/1,005,518,448,218
  6. Step 6: Final answer
    x = 1,508,277,672,326.90

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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.