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Finding the Fourth Proportional to 5,280,397,776,006, 7,920,596,664,009.10 and 5,280,397,776,006

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Solution

The fourth proportional to 5,280,397,776,006, 7,920,596,664,009.10 and 5,280,397,776,006 is: 7,920,596,664,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,397,776,006 : 7,920,596,664,009.10 = 5,280,397,776,006 : x
  2. Step 2: Convert to fraction form
    5,280,397,776,006/7,920,596,664,009.10 = 5,280,397,776,006/x
  3. Step 3: Cross multiply
    5,280,397,776,006x = 7,920,596,664,009.10 × 5,280,397,776,006
  4. Step 4: Simplify right side
    5,280,397,776,006x = 41,823,901,009,274,193,206,837,248
  5. Step 5: Solve for x
    x = 41,823,901,009,274,193,206,837,248/5,280,397,776,006
  6. Step 6: Final answer
    x = 7,920,596,664,009.10

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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.