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Finding the Fourth Proportional to 759,672,705.40, 1,065,960,434.60 and 759,672,705.40

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Solution

The fourth proportional to 759,672,705.40, 1,065,960,434.60 and 759,672,705.40 is: 1,065,960,434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,672,705.40 : 1,065,960,434.60 = 759,672,705.40 : x
  2. Step 2: Convert to fraction form
    759,672,705.40/1,065,960,434.60 = 759,672,705.40/x
  3. Step 3: Cross multiply
    759,672,705.40x = 1,065,960,434.60 × 759,672,705.40
  4. Step 4: Simplify right side
    759,672,705.40x = 809,781,047,201,941,760
  5. Step 5: Solve for x
    x = 809,781,047,201,941,760/759,672,705.40
  6. Step 6: Final answer
    x = 1,065,960,434.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.