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Finding the Fourth Proportional to 51,510,691,430.40, 77,266,037,145.60 and 51,510,691,430.40

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Solution

The fourth proportional to 51,510,691,430.40, 77,266,037,145.60 and 51,510,691,430.40 is: 77,266,037,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,510,691,430.40 : 77,266,037,145.60 = 51,510,691,430.40 : x
  2. Step 2: Convert to fraction form
    51,510,691,430.40/77,266,037,145.60 = 51,510,691,430.40/x
  3. Step 3: Cross multiply
    51,510,691,430.40x = 77,266,037,145.60 × 51,510,691,430.40
  4. Step 4: Simplify right side
    51,510,691,430.40x = 3,980,026,997,456,826,269,696
  5. Step 5: Solve for x
    x = 3,980,026,997,456,826,269,696/51,510,691,430.40
  6. Step 6: Final answer
    x = 77,266,037,145.60

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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.