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Finding the Fourth Proportional to 399,360,433.60, 560,717,038.40 and 399,360,433.60

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Solution

The fourth proportional to 399,360,433.60, 560,717,038.40 and 399,360,433.60 is: 560,717,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,360,433.60 : 560,717,038.40 = 399,360,433.60 : x
  2. Step 2: Convert to fraction form
    399,360,433.60/560,717,038.40 = 399,360,433.60/x
  3. Step 3: Cross multiply
    399,360,433.60x = 560,717,038.40 × 399,360,433.60
  4. Step 4: Simplify right side
    399,360,433.60x = 223,928,199,582,331,840
  5. Step 5: Solve for x
    x = 223,928,199,582,331,840/399,360,433.60
  6. Step 6: Final answer
    x = 560,717,038.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.