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Finding the Fourth Proportional to 6,610,968,788,246.70, 9,900,780,349,550.60 and 6,610,968,788,246.70

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Solution

The fourth proportional to 6,610,968,788,246.70, 9,900,780,349,550.60 and 6,610,968,788,246.70 is: 9,900,780,349,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610,968,788,246.70 : 9,900,780,349,550.60 = 6,610,968,788,246.70 : x
  2. Step 2: Convert to fraction form
    6,610,968,788,246.70/9,900,780,349,550.60 = 6,610,968,788,246.70/x
  3. Step 3: Cross multiply
    6,610,968,788,246.70x = 9,900,780,349,550.60 × 6,610,968,788,246.70
  4. Step 4: Simplify right side
    6,610,968,788,246.70x = 65,453,749,870,165,272,282,791,936
  5. Step 5: Solve for x
    x = 65,453,749,870,165,272,282,791,936/6,610,968,788,246.70
  6. Step 6: Final answer
    x = 9,900,780,349,550.60

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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.