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Finding the Fourth Proportional to 1,602,854,879,793.30, 2,404,282,319,690 and 1,602,854,879,793.30

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Solution

The fourth proportional to 1,602,854,879,793.30, 2,404,282,319,690 and 1,602,854,879,793.30 is: 2,404,282,319,690

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,854,879,793.30 : 2,404,282,319,690 = 1,602,854,879,793.30 : x
  2. Step 2: Convert to fraction form
    1,602,854,879,793.30/2,404,282,319,690 = 1,602,854,879,793.30/x
  3. Step 3: Cross multiply
    1,602,854,879,793.30x = 2,404,282,319,690 × 1,602,854,879,793.30
  4. Step 4: Simplify right side
    1,602,854,879,793.30x = 3,853,715,648,515,871,594,250,240
  5. Step 5: Solve for x
    x = 3,853,715,648,515,871,594,250,240/1,602,854,879,793.30
  6. Step 6: Final answer
    x = 2,404,282,319,690

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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.