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Finding the Fourth Proportional to 295,295,280.20, 442,942,920.30 and 295,295,280.20

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Solution

The fourth proportional to 295,295,280.20, 442,942,920.30 and 295,295,280.20 is: 442,942,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,295,280.20 : 442,942,920.30 = 295,295,280.20 : x
  2. Step 2: Convert to fraction form
    295,295,280.20/442,942,920.30 = 295,295,280.20/x
  3. Step 3: Cross multiply
    295,295,280.20x = 442,942,920.30 × 295,295,280.20
  4. Step 4: Simplify right side
    295,295,280.20x = 130,798,953,762,594,768
  5. Step 5: Solve for x
    x = 130,798,953,762,594,768/295,295,280.20
  6. Step 6: Final answer
    x = 442,942,920.30

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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.