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Finding the Fourth Proportional to 990,498,431.10, 1,485,747,646.65 and 990,498,431.10

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Solution

The fourth proportional to 990,498,431.10, 1,485,747,646.65 and 990,498,431.10 is: 1,485,747,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,498,431.10 : 1,485,747,646.65 = 990,498,431.10 : x
  2. Step 2: Convert to fraction form
    990,498,431.10/1,485,747,646.65 = 990,498,431.10/x
  3. Step 3: Cross multiply
    990,498,431.10x = 1,485,747,646.65 × 990,498,431.10
  4. Step 4: Simplify right side
    990,498,431.10x = 1,471,630,713,017,342,208
  5. Step 5: Solve for x
    x = 1,471,630,713,017,342,208/990,498,431.10
  6. Step 6: Final answer
    x = 1,485,747,646.65

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1.5x scale

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.