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Finding the Fourth Proportional to 71,788,032,381.60, 107,682,048,572.40 and 71,788,032,381.60

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Solution

The fourth proportional to 71,788,032,381.60, 107,682,048,572.40 and 71,788,032,381.60 is: 107,682,048,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,788,032,381.60 : 107,682,048,572.40 = 71,788,032,381.60 : x
  2. Step 2: Convert to fraction form
    71,788,032,381.60/107,682,048,572.40 = 71,788,032,381.60/x
  3. Step 3: Cross multiply
    71,788,032,381.60x = 107,682,048,572.40 × 71,788,032,381.60
  4. Step 4: Simplify right side
    71,788,032,381.60x = 7,730,282,389,832,475,869,184
  5. Step 5: Solve for x
    x = 7,730,282,389,832,475,869,184/71,788,032,381.60
  6. Step 6: Final answer
    x = 107,682,048,572.40

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Double scale
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1.5x scale

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.