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Finding the Fourth Proportional to 5,280,397,778,570.80, 7,920,596,667,856 and 5,280,397,778,570.80

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Solution

The fourth proportional to 5,280,397,778,570.80, 7,920,596,667,856 and 5,280,397,778,570.80 is: 7,920,596,667,856

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,397,778,570.80 : 7,920,596,667,856 = 5,280,397,778,570.80 : x
  2. Step 2: Convert to fraction form
    5,280,397,778,570.80/7,920,596,667,856 = 5,280,397,778,570.80/x
  3. Step 3: Cross multiply
    5,280,397,778,570.80x = 7,920,596,667,856 × 5,280,397,778,570.80
  4. Step 4: Simplify right side
    5,280,397,778,570.80x = 41,823,901,049,902,101,335,900,160
  5. Step 5: Solve for x
    x = 41,823,901,049,902,101,335,900,160/5,280,397,778,570.80
  6. Step 6: Final answer
    x = 7,920,596,667,856

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.