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Finding the Fourth Proportional to 5,280,397,778,995, 7,920,596,668,492.50 and 5,280,397,778,995

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Solution

The fourth proportional to 5,280,397,778,995, 7,920,596,668,492.50 and 5,280,397,778,995 is: 7,920,596,668,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,397,778,995 : 7,920,596,668,492.50 = 5,280,397,778,995 : x
  2. Step 2: Convert to fraction form
    5,280,397,778,995/7,920,596,668,492.50 = 5,280,397,778,995/x
  3. Step 3: Cross multiply
    5,280,397,778,995x = 7,920,596,668,492.50 × 5,280,397,778,995
  4. Step 4: Simplify right side
    5,280,397,778,995x = 41,823,901,056,622,995,009,699,840
  5. Step 5: Solve for x
    x = 41,823,901,056,622,995,009,699,840/5,280,397,778,995
  6. Step 6: Final answer
    x = 7,920,596,668,492.50

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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.