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Finding the Fourth Proportional to 704,688,314.20, 1,057,032,471.30 and 704,688,314.20

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Solution

The fourth proportional to 704,688,314.20, 1,057,032,471.30 and 704,688,314.20 is: 1,057,032,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,688,314.20 : 1,057,032,471.30 = 704,688,314.20 : x
  2. Step 2: Convert to fraction form
    704,688,314.20/1,057,032,471.30 = 704,688,314.20/x
  3. Step 3: Cross multiply
    704,688,314.20x = 1,057,032,471.30 × 704,688,314.20
  4. Step 4: Simplify right side
    704,688,314.20x = 744,878,430,255,056,896
  5. Step 5: Solve for x
    x = 744,878,430,255,056,896/704,688,314.20
  6. Step 6: Final answer
    x = 1,057,032,471.30

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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.