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Finding the Fourth Proportional to 5,280,397,778,967, 7,920,596,668,450.40 and 5,280,397,778,967

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Solution

The fourth proportional to 5,280,397,778,967, 7,920,596,668,450.40 and 5,280,397,778,967 is: 7,920,596,668,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,397,778,967 : 7,920,596,668,450.40 = 5,280,397,778,967 : x
  2. Step 2: Convert to fraction form
    5,280,397,778,967/7,920,596,668,450.40 = 5,280,397,778,967/x
  3. Step 3: Cross multiply
    5,280,397,778,967x = 7,920,596,668,450.40 × 5,280,397,778,967
  4. Step 4: Simplify right side
    5,280,397,778,967x = 41,823,901,056,178,912,571,162,624
  5. Step 5: Solve for x
    x = 41,823,901,056,178,912,571,162,624/5,280,397,778,967
  6. Step 6: Final answer
    x = 7,920,596,668,450.40

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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.