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Finding the Fourth Proportional to 211,152,041.40, 296,015,965.80 and 211,152,041.40

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Solution

The fourth proportional to 211,152,041.40, 296,015,965.80 and 211,152,041.40 is: 296,015,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,152,041.40 : 296,015,965.80 = 211,152,041.40 : x
  2. Step 2: Convert to fraction form
    211,152,041.40/296,015,965.80 = 211,152,041.40/x
  3. Step 3: Cross multiply
    211,152,041.40x = 296,015,965.80 × 211,152,041.40
  4. Step 4: Simplify right side
    211,152,041.40x = 62,504,375,465,662,592
  5. Step 5: Solve for x
    x = 62,504,375,465,662,592/211,152,041.40
  6. Step 6: Final answer
    x = 296,015,965.80

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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.