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Finding the Fourth Proportional to 367,780,811,908.10, 551,671,217,862.16 and 367,780,811,908.10

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Solution

The fourth proportional to 367,780,811,908.10, 551,671,217,862.16 and 367,780,811,908.10 is: 551,671,217,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,780,811,908.10 : 551,671,217,862.16 = 367,780,811,908.10 : x
  2. Step 2: Convert to fraction form
    367,780,811,908.10/551,671,217,862.16 = 367,780,811,908.10/x
  3. Step 3: Cross multiply
    367,780,811,908.10x = 551,671,217,862.16 × 367,780,811,908.10
  4. Step 4: Simplify right side
    367,780,811,908.10x = 202,894,088,411,675,539,537,920
  5. Step 5: Solve for x
    x = 202,894,088,411,675,539,537,920/367,780,811,908.10
  6. Step 6: Final answer
    x = 551,671,217,862.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.