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Finding the Fourth Proportional to 13,366,944,016.65, 20,050,416,024.98 and 13,366,944,016.65

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Solution

The fourth proportional to 13,366,944,016.65, 20,050,416,024.98 and 13,366,944,016.65 is: 20,050,416,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,366,944,016.65 : 20,050,416,024.98 = 13,366,944,016.65 : x
  2. Step 2: Convert to fraction form
    13,366,944,016.65/20,050,416,024.98 = 13,366,944,016.65/x
  3. Step 3: Cross multiply
    13,366,944,016.65x = 20,050,416,024.98 × 13,366,944,016.65
  4. Step 4: Simplify right side
    13,366,944,016.65x = 268,012,788,516,382,834,688
  5. Step 5: Solve for x
    x = 268,012,788,516,382,834,688/13,366,944,016.65
  6. Step 6: Final answer
    x = 20,050,416,024.98

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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.