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Finding the Fourth Proportional to 220,016,574,001.40, 330,024,861,002.13 and 220,016,574,001.40

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Solution

The fourth proportional to 220,016,574,001.40, 330,024,861,002.13 and 220,016,574,001.40 is: 330,024,861,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,016,574,001.40 : 330,024,861,002.13 = 220,016,574,001.40 : x
  2. Step 2: Convert to fraction form
    220,016,574,001.40/330,024,861,002.13 = 220,016,574,001.40/x
  3. Step 3: Cross multiply
    220,016,574,001.40x = 330,024,861,002.13 × 220,016,574,001.40
  4. Step 4: Simplify right side
    220,016,574,001.40x = 72,610,939,252,976,880,975,872
  5. Step 5: Solve for x
    x = 72,610,939,252,976,880,975,872/220,016,574,001.40
  6. Step 6: Final answer
    x = 330,024,861,002.13

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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.