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Finding the Fourth Proportional to 680,030,320.80, 953,856,434.40 and 680,030,320.80

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Solution

The fourth proportional to 680,030,320.80, 953,856,434.40 and 680,030,320.80 is: 953,856,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,030,320.80 : 953,856,434.40 = 680,030,320.80 : x
  2. Step 2: Convert to fraction form
    680,030,320.80/953,856,434.40 = 680,030,320.80/x
  3. Step 3: Cross multiply
    680,030,320.80x = 953,856,434.40 × 680,030,320.80
  4. Step 4: Simplify right side
    680,030,320.80x = 648,651,297,082,176,128
  5. Step 5: Solve for x
    x = 648,651,297,082,176,128/680,030,320.80
  6. Step 6: Final answer
    x = 953,856,434.40

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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.