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Finding the Fourth Proportional to 806,480,897.40, 1,209,721,346.10 and 806,480,897.40

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Solution

The fourth proportional to 806,480,897.40, 1,209,721,346.10 and 806,480,897.40 is: 1,209,721,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,480,897.40 : 1,209,721,346.10 = 806,480,897.40 : x
  2. Step 2: Convert to fraction form
    806,480,897.40/1,209,721,346.10 = 806,480,897.40/x
  3. Step 3: Cross multiply
    806,480,897.40x = 1,209,721,346.10 × 806,480,897.40
  4. Step 4: Simplify right side
    806,480,897.40x = 975,617,156,806,663,936
  5. Step 5: Solve for x
    x = 975,617,156,806,663,936/806,480,897.40
  6. Step 6: Final answer
    x = 1,209,721,346.10

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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.