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Finding the Fourth Proportional to 705,072,062.40, 1,057,608,093.60 and 692,978,827.20

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Solution

The fourth proportional to 705,072,062.40, 1,057,608,093.60 and 692,978,827.20 is: 1,039,468,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,072,062.40 : 1,057,608,093.60 = 692,978,827.20 : x
  2. Step 2: Convert to fraction form
    705,072,062.40/1,057,608,093.60 = 692,978,827.20/x
  3. Step 3: Cross multiply
    705,072,062.40x = 1,057,608,093.60 × 692,978,827.20
  4. Step 4: Simplify right side
    705,072,062.40x = 732,900,016,340,155,904
  5. Step 5: Solve for x
    x = 732,900,016,340,155,904/705,072,062.40
  6. Step 6: Final answer
    x = 1,039,468,240.80

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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.