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Finding the Fourth Proportional to 291,117,695,920.95, 436,676,543,881.44 and 291,117,695,920.95

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Solution

The fourth proportional to 291,117,695,920.95, 436,676,543,881.44 and 291,117,695,920.95 is: 436,676,543,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,117,695,920.95 : 436,676,543,881.44 = 291,117,695,920.95 : x
  2. Step 2: Convert to fraction form
    291,117,695,920.95/436,676,543,881.44 = 291,117,695,920.95/x
  3. Step 3: Cross multiply
    291,117,695,920.95x = 436,676,543,881.44 × 291,117,695,920.95
  4. Step 4: Simplify right side
    291,117,695,920.95x = 127,124,269,317,488,438,673,408
  5. Step 5: Solve for x
    x = 127,124,269,317,488,438,673,408/291,117,695,920.95
  6. Step 6: Final answer
    x = 436,676,543,881.44

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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.