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Finding the Fourth Proportional to 739,262,728.14, 1,020,190,627 and 409,243,378.38

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Solution

The fourth proportional to 739,262,728.14, 1,020,190,627 and 409,243,378.38 is: 564,760,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,262,728.14 : 1,020,190,627 = 409,243,378.38 : x
  2. Step 2: Convert to fraction form
    739,262,728.14/1,020,190,627 = 409,243,378.38/x
  3. Step 3: Cross multiply
    739,262,728.14x = 1,020,190,627 × 409,243,378.38
  4. Step 4: Simplify right side
    739,262,728.14x = 417,506,258,785,090,432
  5. Step 5: Solve for x
    x = 417,506,258,785,090,432/739,262,728.14
  6. Step 6: Final answer
    x = 564,760,325.24

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Why These Related Problems?

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