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Finding the Fourth Proportional to 286,254,010.15, 429,381,015.23 and 286,254,010.15

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Solution

The fourth proportional to 286,254,010.15, 429,381,015.23 and 286,254,010.15 is: 429,381,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,254,010.15 : 429,381,015.23 = 286,254,010.15 : x
  2. Step 2: Convert to fraction form
    286,254,010.15/429,381,015.23 = 286,254,010.15/x
  3. Step 3: Cross multiply
    286,254,010.15x = 429,381,015.23 × 286,254,010.15
  4. Step 4: Simplify right side
    286,254,010.15x = 122,912,037,490,434,448
  5. Step 5: Solve for x
    x = 122,912,037,490,434,448/286,254,010.15
  6. Step 6: Final answer
    x = 429,381,015.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.