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Finding the Fourth Proportional to 14,420,730,147.30, 21,631,095,220.95 and 14,420,730,147.30

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Solution

The fourth proportional to 14,420,730,147.30, 21,631,095,220.95 and 14,420,730,147.30 is: 21,631,095,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420,730,147.30 : 21,631,095,220.95 = 14,420,730,147.30 : x
  2. Step 2: Convert to fraction form
    14,420,730,147.30/21,631,095,220.95 = 14,420,730,147.30/x
  3. Step 3: Cross multiply
    14,420,730,147.30x = 21,631,095,220.95 × 14,420,730,147.30
  4. Step 4: Simplify right side
    14,420,730,147.30x = 311,936,186,971,870,593,024
  5. Step 5: Solve for x
    x = 311,936,186,971,870,593,024/14,420,730,147.30
  6. Step 6: Final answer
    x = 21,631,095,220.95

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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.