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Finding the Fourth Proportional to 986,047,064.32, 1,360,728,217.68 and 546,004,468.48

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Solution

The fourth proportional to 986,047,064.32, 1,360,728,217.68 and 546,004,468.48 is: 753,476,901.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,047,064.32 : 1,360,728,217.68 = 546,004,468.48 : x
  2. Step 2: Convert to fraction form
    986,047,064.32/1,360,728,217.68 = 546,004,468.48/x
  3. Step 3: Cross multiply
    986,047,064.32x = 1,360,728,217.68 × 546,004,468.48
  4. Step 4: Simplify right side
    986,047,064.32x = 742,963,687,240,106,240
  5. Step 5: Solve for x
    x = 742,963,687,240,106,240/986,047,064.32
  6. Step 6: Final answer
    x = 753,476,901.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.