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Finding the Fourth Proportional to 524,700,369.60, 787,069,216.80 and 161,194,142.40

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Solution

The fourth proportional to 524,700,369.60, 787,069,216.80 and 161,194,142.40 is: 241,796,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,700,369.60 : 787,069,216.80 = 161,194,142.40 : x
  2. Step 2: Convert to fraction form
    524,700,369.60/787,069,216.80 = 161,194,142.40/x
  3. Step 3: Cross multiply
    524,700,369.60x = 787,069,216.80 × 161,194,142.40
  4. Step 4: Simplify right side
    524,700,369.60x = 126,870,947,411,515,664
  5. Step 5: Solve for x
    x = 126,870,947,411,515,664/524,700,369.60
  6. Step 6: Final answer
    x = 241,796,946.91

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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.