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Finding the Fourth Proportional to 254,649,667.60, 381,974,501.40 and 254,649,667.60

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Solution

The fourth proportional to 254,649,667.60, 381,974,501.40 and 254,649,667.60 is: 381,974,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,649,667.60 : 381,974,501.40 = 254,649,667.60 : x
  2. Step 2: Convert to fraction form
    254,649,667.60/381,974,501.40 = 254,649,667.60/x
  3. Step 3: Cross multiply
    254,649,667.60x = 381,974,501.40 × 254,649,667.60
  4. Step 4: Simplify right side
    254,649,667.60x = 97,269,679,813,185,728
  5. Step 5: Solve for x
    x = 97,269,679,813,185,728/254,649,667.60
  6. Step 6: Final answer
    x = 381,974,501.40

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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.