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Finding the Fourth Proportional to 717,563,568.40, 1,074,833,698.20 and 717,563,568.40

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Solution

The fourth proportional to 717,563,568.40, 1,074,833,698.20 and 717,563,568.40 is: 1,074,833,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,563,568.40 : 1,074,833,698.20 = 717,563,568.40 : x
  2. Step 2: Convert to fraction form
    717,563,568.40/1,074,833,698.20 = 717,563,568.40/x
  3. Step 3: Cross multiply
    717,563,568.40x = 1,074,833,698.20 × 717,563,568.40
  4. Step 4: Simplify right side
    717,563,568.40x = 771,261,503,916,960,640
  5. Step 5: Solve for x
    x = 771,261,503,916,960,640/717,563,568.40
  6. Step 6: Final answer
    x = 1,074,833,698.20

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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.