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Finding the Fourth Proportional to 1,780,992,457.40, 2,488,293,361 and 1,780,992,457.40

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Solution

The fourth proportional to 1,780,992,457.40, 2,488,293,361 and 1,780,992,457.40 is: 2,488,293,361

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,992,457.40 : 2,488,293,361 = 1,780,992,457.40 : x
  2. Step 2: Convert to fraction form
    1,780,992,457.40/2,488,293,361 = 1,780,992,457.40/x
  3. Step 3: Cross multiply
    1,780,992,457.40x = 2,488,293,361 × 1,780,992,457.40
  4. Step 4: Simplify right side
    1,780,992,457.40x = 4,431,631,707,739,495,424
  5. Step 5: Solve for x
    x = 4,431,631,707,739,495,424/1,780,992,457.40
  6. Step 6: Final answer
    x = 2,488,293,361

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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.