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Finding the Fourth Proportional to 30,730,757,908.20, 43,139,156,129.40 and 30,730,757,908.20

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Solution

The fourth proportional to 30,730,757,908.20, 43,139,156,129.40 and 30,730,757,908.20 is: 43,139,156,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,730,757,908.20 : 43,139,156,129.40 = 30,730,757,908.20 : x
  2. Step 2: Convert to fraction form
    30,730,757,908.20/43,139,156,129.40 = 30,730,757,908.20/x
  3. Step 3: Cross multiply
    30,730,757,908.20x = 43,139,156,129.40 × 30,730,757,908.20
  4. Step 4: Simplify right side
    30,730,757,908.20x = 1,325,698,963,376,633,544,704
  5. Step 5: Solve for x
    x = 1,325,698,963,376,633,544,704/30,730,757,908.20
  6. Step 6: Final answer
    x = 43,139,156,129.40

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1.5x scale

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.