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Finding the Fourth Proportional to 442,133,643.90, 661,925,007.45 and 442,133,643.90

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Solution

The fourth proportional to 442,133,643.90, 661,925,007.45 and 442,133,643.90 is: 661,925,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,133,643.90 : 661,925,007.45 = 442,133,643.90 : x
  2. Step 2: Convert to fraction form
    442,133,643.90/661,925,007.45 = 442,133,643.90/x
  3. Step 3: Cross multiply
    442,133,643.90x = 661,925,007.45 × 442,133,643.90
  4. Step 4: Simplify right side
    442,133,643.90x = 292,659,315,532,403,136
  5. Step 5: Solve for x
    x = 292,659,315,532,403,136/442,133,643.90
  6. Step 6: Final answer
    x = 661,925,007.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.