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Finding the Fourth Proportional to 54,886,045,605.60, 82,174,100,212.80 and 54,886,045,605.60

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Solution

The fourth proportional to 54,886,045,605.60, 82,174,100,212.80 and 54,886,045,605.60 is: 82,174,100,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,886,045,605.60 : 82,174,100,212.80 = 54,886,045,605.60 : x
  2. Step 2: Convert to fraction form
    54,886,045,605.60/82,174,100,212.80 = 54,886,045,605.60/x
  3. Step 3: Cross multiply
    54,886,045,605.60x = 82,174,100,212.80 × 54,886,045,605.60
  4. Step 4: Simplify right side
    54,886,045,605.60x = 4,510,211,411,878,885,720,064
  5. Step 5: Solve for x
    x = 4,510,211,411,878,885,720,064/54,886,045,605.60
  6. Step 6: Final answer
    x = 82,174,100,212.80

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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.