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Finding the Fourth Proportional to 474,991,186.40, 712,486,779.60 and 474,991,186.40

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Solution

The fourth proportional to 474,991,186.40, 712,486,779.60 and 474,991,186.40 is: 712,486,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,991,186.40 : 712,486,779.60 = 474,991,186.40 : x
  2. Step 2: Convert to fraction form
    474,991,186.40/712,486,779.60 = 474,991,186.40/x
  3. Step 3: Cross multiply
    474,991,186.40x = 712,486,779.60 × 474,991,186.40
  4. Step 4: Simplify right side
    474,991,186.40x = 338,424,940,736,519,296
  5. Step 5: Solve for x
    x = 338,424,940,736,519,296/474,991,186.40
  6. Step 6: Final answer
    x = 712,486,779.60

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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.