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Finding the Fourth Proportional to 10,201,701,706.60, 15,302,552,559.90 and 10,201,701,706.60

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Solution

The fourth proportional to 10,201,701,706.60, 15,302,552,559.90 and 10,201,701,706.60 is: 15,302,552,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201,701,706.60 : 15,302,552,559.90 = 10,201,701,706.60 : x
  2. Step 2: Convert to fraction form
    10,201,701,706.60/15,302,552,559.90 = 10,201,701,706.60/x
  3. Step 3: Cross multiply
    10,201,701,706.60x = 15,302,552,559.90 × 10,201,701,706.60
  4. Step 4: Simplify right side
    10,201,701,706.60x = 156,112,076,565,668,036,608
  5. Step 5: Solve for x
    x = 156,112,076,565,668,036,608/10,201,701,706.60
  6. Step 6: Final answer
    x = 15,302,552,559.90

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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.