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Finding the Fourth Proportional to 452,307,206.40, 678,460,809.60 and 452,307,206.40

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Solution

The fourth proportional to 452,307,206.40, 678,460,809.60 and 452,307,206.40 is: 678,460,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,307,206.40 : 678,460,809.60 = 452,307,206.40 : x
  2. Step 2: Convert to fraction form
    452,307,206.40/678,460,809.60 = 452,307,206.40/x
  3. Step 3: Cross multiply
    452,307,206.40x = 678,460,809.60 × 452,307,206.40
  4. Step 4: Simplify right side
    452,307,206.40x = 306,872,713,442,058,304
  5. Step 5: Solve for x
    x = 306,872,713,442,058,304/452,307,206.40
  6. Step 6: Final answer
    x = 678,460,809.60

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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.