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Finding the Fourth Proportional to 200,429,459.70, 280,983,881.10 and 200,429,459.70

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Solution

The fourth proportional to 200,429,459.70, 280,983,881.10 and 200,429,459.70 is: 280,983,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,429,459.70 : 280,983,881.10 = 200,429,459.70 : x
  2. Step 2: Convert to fraction form
    200,429,459.70/280,983,881.10 = 200,429,459.70/x
  3. Step 3: Cross multiply
    200,429,459.70x = 280,983,881.10 × 200,429,459.70
  4. Step 4: Simplify right side
    200,429,459.70x = 56,317,447,473,282,040
  5. Step 5: Solve for x
    x = 56,317,447,473,282,040/200,429,459.70
  6. Step 6: Final answer
    x = 280,983,881.10

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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.