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Finding the Fourth Proportional to 10,114,596,601.20, 15,171,894,901.80 and 10,114,596,601.20

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Solution

The fourth proportional to 10,114,596,601.20, 15,171,894,901.80 and 10,114,596,601.20 is: 15,171,894,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114,596,601.20 : 15,171,894,901.80 = 10,114,596,601.20 : x
  2. Step 2: Convert to fraction form
    10,114,596,601.20/15,171,894,901.80 = 10,114,596,601.20/x
  3. Step 3: Cross multiply
    10,114,596,601.20x = 15,171,894,901.80 × 10,114,596,601.20
  4. Step 4: Simplify right side
    10,114,596,601.20x = 153,457,596,607,509,889,024
  5. Step 5: Solve for x
    x = 153,457,596,607,509,889,024/10,114,596,601.20
  6. Step 6: Final answer
    x = 15,171,894,901.80

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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.