Home / 514,034,814,409.39-709,358,500,788.39-282,543,384,908.38

Finding the Fourth Proportional to 514,034,814,409.39, 709,358,500,788.39 and 282,543,384,908.38

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Solution

The fourth proportional to 514,034,814,409.39, 709,358,500,788.39 and 282,543,384,908.38 is: 389,904,625,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,034,814,409.39 : 709,358,500,788.39 = 282,543,384,908.38 : x
  2. Step 2: Convert to fraction form
    514,034,814,409.39/709,358,500,788.39 = 282,543,384,908.38/x
  3. Step 3: Cross multiply
    514,034,814,409.39x = 709,358,500,788.39 × 282,543,384,908.38
  4. Step 4: Simplify right side
    514,034,814,409.39x = 200,424,551,926,285,465,550,848
  5. Step 5: Solve for x
    x = 200,424,551,926,285,465,550,848/514,034,814,409.39
  6. Step 6: Final answer
    x = 389,904,625,733.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.