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Finding the Fourth Proportional to 152,267,688,024.90, 228,401,532,037.35 and 152,267,688,024.90

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Solution

The fourth proportional to 152,267,688,024.90, 228,401,532,037.35 and 152,267,688,024.90 is: 228,401,532,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,267,688,024.90 : 228,401,532,037.35 = 152,267,688,024.90 : x
  2. Step 2: Convert to fraction form
    152,267,688,024.90/228,401,532,037.35 = 152,267,688,024.90/x
  3. Step 3: Cross multiply
    152,267,688,024.90x = 228,401,532,037.35 × 152,267,688,024.90
  4. Step 4: Simplify right side
    152,267,688,024.90x = 34,778,173,224,672,410,206,208
  5. Step 5: Solve for x
    x = 34,778,173,224,672,410,206,208/152,267,688,024.90
  6. Step 6: Final answer
    x = 228,401,532,037.35

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1.5x scale

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.