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Finding the Fourth Proportional to 402,409,628.10, 603,614,442.15 and 402,409,628.10

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Solution

The fourth proportional to 402,409,628.10, 603,614,442.15 and 402,409,628.10 is: 603,614,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,409,628.10 : 603,614,442.15 = 402,409,628.10 : x
  2. Step 2: Convert to fraction form
    402,409,628.10/603,614,442.15 = 402,409,628.10/x
  3. Step 3: Cross multiply
    402,409,628.10x = 603,614,442.15 × 402,409,628.10
  4. Step 4: Simplify right side
    402,409,628.10x = 242,900,263,181,370,464
  5. Step 5: Solve for x
    x = 242,900,263,181,370,464/402,409,628.10
  6. Step 6: Final answer
    x = 603,614,442.15

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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.