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Finding the Fourth Proportional to 40,458,386,501.70, 60,687,579,752.55 and 40,458,386,501.70

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Solution

The fourth proportional to 40,458,386,501.70, 60,687,579,752.55 and 40,458,386,501.70 is: 60,687,579,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,458,386,501.70 : 60,687,579,752.55 = 40,458,386,501.70 : x
  2. Step 2: Convert to fraction form
    40,458,386,501.70/60,687,579,752.55 = 40,458,386,501.70/x
  3. Step 3: Cross multiply
    40,458,386,501.70x = 60,687,579,752.55 × 40,458,386,501.70
  4. Step 4: Simplify right side
    40,458,386,501.70x = 2,455,321,557,481,411,313,664
  5. Step 5: Solve for x
    x = 2,455,321,557,481,411,313,664/40,458,386,501.70
  6. Step 6: Final answer
    x = 60,687,579,752.55

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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.