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Finding the Fourth Proportional to 511,074,137.80, 766,611,206.70 and 365,955,315.40

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Solution

The fourth proportional to 511,074,137.80, 766,611,206.70 and 365,955,315.40 is: 548,932,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,074,137.80 : 766,611,206.70 = 365,955,315.40 : x
  2. Step 2: Convert to fraction form
    511,074,137.80/766,611,206.70 = 365,955,315.40/x
  3. Step 3: Cross multiply
    511,074,137.80x = 766,611,206.70 × 365,955,315.40
  4. Step 4: Simplify right side
    511,074,137.80x = 280,545,445,937,073,088
  5. Step 5: Solve for x
    x = 280,545,445,937,073,088/511,074,137.80
  6. Step 6: Final answer
    x = 548,932,973.10

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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.