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Finding the Fourth Proportional to 45,880,121,167.80, 68,820,181,751.70 and 45,880,121,167.80

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Solution

The fourth proportional to 45,880,121,167.80, 68,820,181,751.70 and 45,880,121,167.80 is: 68,820,181,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,880,121,167.80 : 68,820,181,751.70 = 45,880,121,167.80 : x
  2. Step 2: Convert to fraction form
    45,880,121,167.80/68,820,181,751.70 = 45,880,121,167.80/x
  3. Step 3: Cross multiply
    45,880,121,167.80x = 68,820,181,751.70 × 45,880,121,167.80
  4. Step 4: Simplify right side
    45,880,121,167.80x = 3,157,478,277,558,014,312,448
  5. Step 5: Solve for x
    x = 3,157,478,277,558,014,312,448/45,880,121,167.80
  6. Step 6: Final answer
    x = 68,820,181,751.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.