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Finding the Fourth Proportional to 9,780,729,113.70, 14,671,093,670.55 and 9,780,729,113.70

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Solution

The fourth proportional to 9,780,729,113.70, 14,671,093,670.55 and 9,780,729,113.70 is: 14,671,093,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780,729,113.70 : 14,671,093,670.55 = 9,780,729,113.70 : x
  2. Step 2: Convert to fraction form
    9,780,729,113.70/14,671,093,670.55 = 9,780,729,113.70/x
  3. Step 3: Cross multiply
    9,780,729,113.70x = 14,671,093,670.55 × 9,780,729,113.70
  4. Step 4: Simplify right side
    9,780,729,113.70x = 143,493,992,993,368,178,688
  5. Step 5: Solve for x
    x = 143,493,992,993,368,178,688/9,780,729,113.70
  6. Step 6: Final answer
    x = 14,671,093,670.55

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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.