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Finding the Fourth Proportional to 806,502,830.40, 1,209,754,245.60 and 806,502,830.40

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Solution

The fourth proportional to 806,502,830.40, 1,209,754,245.60 and 806,502,830.40 is: 1,209,754,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,502,830.40 : 1,209,754,245.60 = 806,502,830.40 : x
  2. Step 2: Convert to fraction form
    806,502,830.40/1,209,754,245.60 = 806,502,830.40/x
  3. Step 3: Cross multiply
    806,502,830.40x = 1,209,754,245.60 × 806,502,830.40
  4. Step 4: Simplify right side
    806,502,830.40x = 975,670,223,164,816,640
  5. Step 5: Solve for x
    x = 975,670,223,164,816,640/806,502,830.40
  6. Step 6: Final answer
    x = 1,209,754,245.60

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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.