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Finding the Fourth Proportional to 1,099,982,522.10, 1,650,266,075.70 and 477,930,831.60

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Solution

The fourth proportional to 1,099,982,522.10, 1,650,266,075.70 and 477,930,831.60 is: 717,023,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,982,522.10 : 1,650,266,075.70 = 477,930,831.60 : x
  2. Step 2: Convert to fraction form
    1,099,982,522.10/1,650,266,075.70 = 477,930,831.60/x
  3. Step 3: Cross multiply
    1,099,982,522.10x = 1,650,266,075.70 × 477,930,831.60
  4. Step 4: Simplify right side
    1,099,982,522.10x = 788,713,037,920,569,600
  5. Step 5: Solve for x
    x = 788,713,037,920,569,600/1,099,982,522.10
  6. Step 6: Final answer
    x = 717,023,245.44

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Double scale
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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.