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Finding the Fourth Proportional to 367,780,811,252.11, 551,671,216,878.15 and 367,780,811,252.11

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Solution

The fourth proportional to 367,780,811,252.11, 551,671,216,878.15 and 367,780,811,252.11 is: 551,671,216,878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,780,811,252.11 : 551,671,216,878.15 = 367,780,811,252.11 : x
  2. Step 2: Convert to fraction form
    367,780,811,252.11/551,671,216,878.15 = 367,780,811,252.11/x
  3. Step 3: Cross multiply
    367,780,811,252.11x = 551,671,216,878.15 × 367,780,811,252.11
  4. Step 4: Simplify right side
    367,780,811,252.11x = 202,894,087,687,884,731,580,416
  5. Step 5: Solve for x
    x = 202,894,087,687,884,731,580,416/367,780,811,252.11
  6. Step 6: Final answer
    x = 551,671,216,878.15

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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.