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Finding the Fourth Proportional to 105,307,951.20, 157,678,491.60 and 105,307,951.20

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Solution

The fourth proportional to 105,307,951.20, 157,678,491.60 and 105,307,951.20 is: 157,678,491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,307,951.20 : 157,678,491.60 = 105,307,951.20 : x
  2. Step 2: Convert to fraction form
    105,307,951.20/157,678,491.60 = 105,307,951.20/x
  3. Step 3: Cross multiply
    105,307,951.20x = 157,678,491.60 × 105,307,951.20
  4. Step 4: Simplify right side
    105,307,951.20x = 16,604,798,898,702,410
  5. Step 5: Solve for x
    x = 16,604,798,898,702,410/105,307,951.20
  6. Step 6: Final answer
    x = 157,678,491.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.