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Finding the Fourth Proportional to 54,853,776,656.70, 82,280,664,985.05 and 54,853,776,656.70

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Solution

The fourth proportional to 54,853,776,656.70, 82,280,664,985.05 and 54,853,776,656.70 is: 82,280,664,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,853,776,656.70 : 82,280,664,985.05 = 54,853,776,656.70 : x
  2. Step 2: Convert to fraction form
    54,853,776,656.70/82,280,664,985.05 = 54,853,776,656.70/x
  3. Step 3: Cross multiply
    54,853,776,656.70x = 82,280,664,985.05 × 54,853,776,656.70
  4. Step 4: Simplify right side
    54,853,776,656.70x = 4,513,405,220,254,688,739,328
  5. Step 5: Solve for x
    x = 4,513,405,220,254,688,739,328/54,853,776,656.70
  6. Step 6: Final answer
    x = 82,280,664,985.05

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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.