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Finding the Fourth Proportional to 5,280,397,776,007, 7,920,596,664,010.60 and 5,280,397,776,007

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Solution

The fourth proportional to 5,280,397,776,007, 7,920,596,664,010.60 and 5,280,397,776,007 is: 7,920,596,664,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,397,776,007 : 7,920,596,664,010.60 = 5,280,397,776,007 : x
  2. Step 2: Convert to fraction form
    5,280,397,776,007/7,920,596,664,010.60 = 5,280,397,776,007/x
  3. Step 3: Cross multiply
    5,280,397,776,007x = 7,920,596,664,010.60 × 5,280,397,776,007
  4. Step 4: Simplify right side
    5,280,397,776,007x = 41,823,901,009,290,033,046,224,896
  5. Step 5: Solve for x
    x = 41,823,901,009,290,033,046,224,896/5,280,397,776,007
  6. Step 6: Final answer
    x = 7,920,596,664,010.60

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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.