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Finding the Fourth Proportional to 200,388,741.40, 280,947,345.80 and 200,388,741.40

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Solution

The fourth proportional to 200,388,741.40, 280,947,345.80 and 200,388,741.40 is: 280,947,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,388,741.40 : 280,947,345.80 = 200,388,741.40 : x
  2. Step 2: Convert to fraction form
    200,388,741.40/280,947,345.80 = 200,388,741.40/x
  3. Step 3: Cross multiply
    200,388,741.40x = 280,947,345.80 × 200,388,741.40
  4. Step 4: Simplify right side
    200,388,741.40x = 56,298,685,024,532,584
  5. Step 5: Solve for x
    x = 56,298,685,024,532,584/200,388,741.40
  6. Step 6: Final answer
    x = 280,947,345.80

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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.