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Finding the Fourth Proportional to 412,072,005.10, 577,750,153.70 and 412,072,005.10

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Solution

The fourth proportional to 412,072,005.10, 577,750,153.70 and 412,072,005.10 is: 577,750,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,072,005.10 : 577,750,153.70 = 412,072,005.10 : x
  2. Step 2: Convert to fraction form
    412,072,005.10/577,750,153.70 = 412,072,005.10/x
  3. Step 3: Cross multiply
    412,072,005.10x = 577,750,153.70 × 412,072,005.10
  4. Step 4: Simplify right side
    412,072,005.10x = 238,074,664,281,992,224
  5. Step 5: Solve for x
    x = 238,074,664,281,992,224/412,072,005.10
  6. Step 6: Final answer
    x = 577,750,153.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.