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Finding the Fourth Proportional to 21,736,012,169.70, 32,604,018,254.55 and 21,736,012,169.70

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Solution

The fourth proportional to 21,736,012,169.70, 32,604,018,254.55 and 21,736,012,169.70 is: 32,604,018,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,736,012,169.70 : 32,604,018,254.55 = 21,736,012,169.70 : x
  2. Step 2: Convert to fraction form
    21,736,012,169.70/32,604,018,254.55 = 21,736,012,169.70/x
  3. Step 3: Cross multiply
    21,736,012,169.70x = 32,604,018,254.55 × 21,736,012,169.70
  4. Step 4: Simplify right side
    21,736,012,169.70x = 708,681,337,562,019,790,848
  5. Step 5: Solve for x
    x = 708,681,337,562,019,790,848/21,736,012,169.70
  6. Step 6: Final answer
    x = 32,604,018,254.55

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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.