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Finding the Fourth Proportional to 442,133,570.40, 661,924,897.20 and 442,133,570.40

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Solution

The fourth proportional to 442,133,570.40, 661,924,897.20 and 442,133,570.40 is: 661,924,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,133,570.40 : 661,924,897.20 = 442,133,570.40 : x
  2. Step 2: Convert to fraction form
    442,133,570.40/661,924,897.20 = 442,133,570.40/x
  3. Step 3: Cross multiply
    442,133,570.40x = 661,924,897.20 × 442,133,570.40
  4. Step 4: Simplify right side
    442,133,570.40x = 292,659,218,135,688,960
  5. Step 5: Solve for x
    x = 292,659,218,135,688,960/442,133,570.40
  6. Step 6: Final answer
    x = 661,924,897.20

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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.