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Finding the Fourth Proportional to 72,765,880,477.20, 109,148,820,715.80 and 72,765,880,477.20

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Solution

The fourth proportional to 72,765,880,477.20, 109,148,820,715.80 and 72,765,880,477.20 is: 109,148,820,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,765,880,477.20 : 109,148,820,715.80 = 72,765,880,477.20 : x
  2. Step 2: Convert to fraction form
    72,765,880,477.20/109,148,820,715.80 = 72,765,880,477.20/x
  3. Step 3: Cross multiply
    72,765,880,477.20x = 109,148,820,715.80 × 72,765,880,477.20
  4. Step 4: Simplify right side
    72,765,880,477.20x = 7,942,310,042,433,234,141,184
  5. Step 5: Solve for x
    x = 7,942,310,042,433,234,141,184/72,765,880,477.20
  6. Step 6: Final answer
    x = 109,148,820,715.80

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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.