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Finding the Fourth Proportional to 1,412,236,433.40, 2,114,323,571.70 and 1,412,236,433.40

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Solution

The fourth proportional to 1,412,236,433.40, 2,114,323,571.70 and 1,412,236,433.40 is: 2,114,323,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,236,433.40 : 2,114,323,571.70 = 1,412,236,433.40 : x
  2. Step 2: Convert to fraction form
    1,412,236,433.40/2,114,323,571.70 = 1,412,236,433.40/x
  3. Step 3: Cross multiply
    1,412,236,433.40x = 2,114,323,571.70 × 1,412,236,433.40
  4. Step 4: Simplify right side
    1,412,236,433.40x = 2,985,924,779,951,157,248
  5. Step 5: Solve for x
    x = 2,985,924,779,951,157,248/1,412,236,433.40
  6. Step 6: Final answer
    x = 2,114,323,571.70

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