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Finding the Fourth Proportional to 42,896,946.30, 64,345,419.45 and 42,896,946.30

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Solution

The fourth proportional to 42,896,946.30, 64,345,419.45 and 42,896,946.30 is: 64,345,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,896,946.30 : 64,345,419.45 = 42,896,946.30 : x
  2. Step 2: Convert to fraction form
    42,896,946.30/64,345,419.45 = 42,896,946.30/x
  3. Step 3: Cross multiply
    42,896,946.30x = 64,345,419.45 × 42,896,946.30
  4. Step 4: Simplify right side
    42,896,946.30x = 2,760,222,002,797,625.50
  5. Step 5: Solve for x
    x = 2,760,222,002,797,625.50/42,896,946.30
  6. Step 6: Final answer
    x = 64,345,419.45

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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.