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Finding the Fourth Proportional to 452,304,017.40, 678,456,026.10 and 452,304,017.40

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Solution

The fourth proportional to 452,304,017.40, 678,456,026.10 and 452,304,017.40 is: 678,456,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,304,017.40 : 678,456,026.10 = 452,304,017.40 : x
  2. Step 2: Convert to fraction form
    452,304,017.40/678,456,026.10 = 452,304,017.40/x
  3. Step 3: Cross multiply
    452,304,017.40x = 678,456,026.10 × 452,304,017.40
  4. Step 4: Simplify right side
    452,304,017.40x = 306,868,386,234,269,248
  5. Step 5: Solve for x
    x = 306,868,386,234,269,248/452,304,017.40
  6. Step 6: Final answer
    x = 678,456,026.10

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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.