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Finding the Fourth Proportional to 96,863,688,032.20, 145,295,532,048.30 and 96,863,688,032.20

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Solution

The fourth proportional to 96,863,688,032.20, 145,295,532,048.30 and 96,863,688,032.20 is: 145,295,532,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,863,688,032.20 : 145,295,532,048.30 = 96,863,688,032.20 : x
  2. Step 2: Convert to fraction form
    96,863,688,032.20/145,295,532,048.30 = 96,863,688,032.20/x
  3. Step 3: Cross multiply
    96,863,688,032.20x = 145,295,532,048.30 × 96,863,688,032.20
  4. Step 4: Simplify right side
    96,863,688,032.20x = 14,073,861,088,799,046,500,352
  5. Step 5: Solve for x
    x = 14,073,861,088,799,046,500,352/96,863,688,032.20
  6. Step 6: Final answer
    x = 145,295,532,048.30

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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.