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Finding the Fourth Proportional to 2,899,584,019.40, 4,349,376,029.14 and 2,899,584,019.40

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Solution

The fourth proportional to 2,899,584,019.40, 4,349,376,029.14 and 2,899,584,019.40 is: 4,349,376,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899,584,019.40 : 4,349,376,029.14 = 2,899,584,019.40 : x
  2. Step 2: Convert to fraction form
    2,899,584,019.40/4,349,376,029.14 = 2,899,584,019.40/x
  3. Step 3: Cross multiply
    2,899,584,019.40x = 4,349,376,029.14 × 2,899,584,019.40
  4. Step 4: Simplify right side
    2,899,584,019.40x = 12,611,381,228,455,774,208
  5. Step 5: Solve for x
    x = 12,611,381,228,455,774,208/2,899,584,019.40
  6. Step 6: Final answer
    x = 4,349,376,029.14

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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.