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Finding the Fourth Proportional to 152,267,688,003.90, 228,401,532,005.85 and 152,267,688,003.90

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Solution

The fourth proportional to 152,267,688,003.90, 228,401,532,005.85 and 152,267,688,003.90 is: 228,401,532,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,267,688,003.90 : 228,401,532,005.85 = 152,267,688,003.90 : x
  2. Step 2: Convert to fraction form
    152,267,688,003.90/228,401,532,005.85 = 152,267,688,003.90/x
  3. Step 3: Cross multiply
    152,267,688,003.90x = 228,401,532,005.85 × 152,267,688,003.90
  4. Step 4: Simplify right side
    152,267,688,003.90x = 34,778,173,215,079,546,224,640
  5. Step 5: Solve for x
    x = 34,778,173,215,079,546,224,640/152,267,688,003.90
  6. Step 6: Final answer
    x = 228,401,532,005.85

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