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Finding the Fourth Proportional to 906,594,476.73, 1,360,169,247.75 and 464,250,352.69

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Solution

The fourth proportional to 906,594,476.73, 1,360,169,247.75 and 464,250,352.69 is: 696,517,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,594,476.73 : 1,360,169,247.75 = 464,250,352.69 : x
  2. Step 2: Convert to fraction form
    906,594,476.73/1,360,169,247.75 = 464,250,352.69/x
  3. Step 3: Cross multiply
    906,594,476.73x = 1,360,169,247.75 × 464,250,352.69
  4. Step 4: Simplify right side
    906,594,476.73x = 631,459,052,986,029,440
  5. Step 5: Solve for x
    x = 631,459,052,986,029,440/906,594,476.73
  6. Step 6: Final answer
    x = 696,517,648.40

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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.