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Finding the Fourth Proportional to 806,762,643.40, 1,210,143,965.10 and 806,762,643.40

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Solution

The fourth proportional to 806,762,643.40, 1,210,143,965.10 and 806,762,643.40 is: 1,210,143,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,762,643.40 : 1,210,143,965.10 = 806,762,643.40 : x
  2. Step 2: Convert to fraction form
    806,762,643.40/1,210,143,965.10 = 806,762,643.40/x
  3. Step 3: Cross multiply
    806,762,643.40x = 1,210,143,965.10 × 806,762,643.40
  4. Step 4: Simplify right side
    806,762,643.40x = 976,298,944,178,633,216
  5. Step 5: Solve for x
    x = 976,298,944,178,633,216/806,762,643.40
  6. Step 6: Final answer
    x = 1,210,143,965.10

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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.