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Finding the Fourth Proportional to 30,343,896,010.70, 45,454,622,012.85 and 30,343,896,010.70

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Solution

The fourth proportional to 30,343,896,010.70, 45,454,622,012.85 and 30,343,896,010.70 is: 45,454,622,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343,896,010.70 : 45,454,622,012.85 = 30,343,896,010.70 : x
  2. Step 2: Convert to fraction form
    30,343,896,010.70/45,454,622,012.85 = 30,343,896,010.70/x
  3. Step 3: Cross multiply
    30,343,896,010.70x = 45,454,622,012.85 × 30,343,896,010.70
  4. Step 4: Simplify right side
    30,343,896,010.70x = 1,379,270,323,563,595,563,008
  5. Step 5: Solve for x
    x = 1,379,270,323,563,595,563,008/30,343,896,010.70
  6. Step 6: Final answer
    x = 45,454,622,012.85

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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.