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Finding the Fourth Proportional to 442,539,501.30, 618,345,978.30 and 442,539,501.30

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Solution

The fourth proportional to 442,539,501.30, 618,345,978.30 and 442,539,501.30 is: 618,345,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,539,501.30 : 618,345,978.30 = 442,539,501.30 : x
  2. Step 2: Convert to fraction form
    442,539,501.30/618,345,978.30 = 442,539,501.30/x
  3. Step 3: Cross multiply
    442,539,501.30x = 618,345,978.30 × 442,539,501.30
  4. Step 4: Simplify right side
    442,539,501.30x = 273,642,520,867,742,624
  5. Step 5: Solve for x
    x = 273,642,520,867,742,624/442,539,501.30
  6. Step 6: Final answer
    x = 618,345,978.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.