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Finding the Fourth Proportional to 966,886,549.40, 1,450,329,824.10 and 966,886,549.40

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Solution

The fourth proportional to 966,886,549.40, 1,450,329,824.10 and 966,886,549.40 is: 1,450,329,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,886,549.40 : 1,450,329,824.10 = 966,886,549.40 : x
  2. Step 2: Convert to fraction form
    966,886,549.40/1,450,329,824.10 = 966,886,549.40/x
  3. Step 3: Cross multiply
    966,886,549.40x = 1,450,329,824.10 × 966,886,549.40
  4. Step 4: Simplify right side
    966,886,549.40x = 1,402,304,399,115,957,760
  5. Step 5: Solve for x
    x = 1,402,304,399,115,957,760/966,886,549.40
  6. Step 6: Final answer
    x = 1,450,329,824.10

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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.