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Finding the Fourth Proportional to 12,516,498,436,499, 18,774,747,654,748 and 12,516,498,436,499

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Solution

The fourth proportional to 12,516,498,436,499, 18,774,747,654,748 and 12,516,498,436,499 is: 18,774,747,654,748

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,516,498,436,499 : 18,774,747,654,748 = 12,516,498,436,499 : x
  2. Step 2: Convert to fraction form
    12,516,498,436,499/18,774,747,654,748 = 12,516,498,436,499/x
  3. Step 3: Cross multiply
    12,516,498,436,499x = 18,774,747,654,748 × 12,516,498,436,499
  4. Step 4: Simplify right side
    12,516,498,436,499x = 234,994,099,666,316,616,477,442,048
  5. Step 5: Solve for x
    x = 234,994,099,666,316,616,477,442,048/12,516,498,436,499
  6. Step 6: Final answer
    x = 18,774,747,654,748

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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.