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Finding the Fourth Proportional to 5,280,397,776,008, 7,920,596,664,012.10 and 5,280,397,776,008

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Solution

The fourth proportional to 5,280,397,776,008, 7,920,596,664,012.10 and 5,280,397,776,008 is: 7,920,596,664,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,397,776,008 : 7,920,596,664,012.10 = 5,280,397,776,008 : x
  2. Step 2: Convert to fraction form
    5,280,397,776,008/7,920,596,664,012.10 = 5,280,397,776,008/x
  3. Step 3: Cross multiply
    5,280,397,776,008x = 7,920,596,664,012.10 × 5,280,397,776,008
  4. Step 4: Simplify right side
    5,280,397,776,008x = 41,823,901,009,305,872,885,612,544
  5. Step 5: Solve for x
    x = 41,823,901,009,305,872,885,612,544/5,280,397,776,008
  6. Step 6: Final answer
    x = 7,920,596,664,012.10

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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.