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Finding the Fourth Proportional to 412,360,340.40, 618,540,510.60 and 412,360,340.40

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Solution

The fourth proportional to 412,360,340.40, 618,540,510.60 and 412,360,340.40 is: 618,540,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,360,340.40 : 618,540,510.60 = 412,360,340.40 : x
  2. Step 2: Convert to fraction form
    412,360,340.40/618,540,510.60 = 412,360,340.40/x
  3. Step 3: Cross multiply
    412,360,340.40x = 618,540,510.60 × 412,360,340.40
  4. Step 4: Simplify right side
    412,360,340.40x = 255,061,575,502,205,792
  5. Step 5: Solve for x
    x = 255,061,575,502,205,792/412,360,340.40
  6. Step 6: Final answer
    x = 618,540,510.60

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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.