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Finding the Fourth Proportional to 142,716,985.40, 200,206,887.40 and 142,716,985.40

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Solution

The fourth proportional to 142,716,985.40, 200,206,887.40 and 142,716,985.40 is: 200,206,887.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,716,985.40 : 200,206,887.40 = 142,716,985.40 : x
  2. Step 2: Convert to fraction form
    142,716,985.40/200,206,887.40 = 142,716,985.40/x
  3. Step 3: Cross multiply
    142,716,985.40x = 200,206,887.40 × 142,716,985.40
  4. Step 4: Simplify right side
    142,716,985.40x = 28,572,923,426,045,248
  5. Step 5: Solve for x
    x = 28,572,923,426,045,248/142,716,985.40
  6. Step 6: Final answer
    x = 200,206,887.40

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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.