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Finding the Fourth Proportional to 806,478,666.40, 1,209,717,999.60 and 806,478,666.40

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Solution

The fourth proportional to 806,478,666.40, 1,209,717,999.60 and 806,478,666.40 is: 1,209,717,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,478,666.40 : 1,209,717,999.60 = 806,478,666.40 : x
  2. Step 2: Convert to fraction form
    806,478,666.40/1,209,717,999.60 = 806,478,666.40/x
  3. Step 3: Cross multiply
    806,478,666.40x = 1,209,717,999.60 × 806,478,666.40
  4. Step 4: Simplify right side
    806,478,666.40x = 975,611,759,037,483,648
  5. Step 5: Solve for x
    x = 975,611,759,037,483,648/806,478,666.40
  6. Step 6: Final answer
    x = 1,209,717,999.60

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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.