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Finding the Fourth Proportional to 5,667,739,784,862.40, 8,501,609,677,293.70 and 5,667,739,784,862.40

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Solution

The fourth proportional to 5,667,739,784,862.40, 8,501,609,677,293.70 and 5,667,739,784,862.40 is: 8,501,609,677,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667,739,784,862.40 : 8,501,609,677,293.70 = 5,667,739,784,862.40 : x
  2. Step 2: Convert to fraction form
    5,667,739,784,862.40/8,501,609,677,293.70 = 5,667,739,784,862.40/x
  3. Step 3: Cross multiply
    5,667,739,784,862.40x = 8,501,609,677,293.70 × 5,667,739,784,862.40
  4. Step 4: Simplify right side
    5,667,739,784,862.40x = 48,184,911,403,368,696,025,972,736
  5. Step 5: Solve for x
    x = 48,184,911,403,368,696,025,972,736/5,667,739,784,862.40
  6. Step 6: Final answer
    x = 8,501,609,677,293.70

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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.