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Finding the Fourth Proportional to 442,601,438.40, 620,549,006.40 and 442,601,438.40

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Solution

The fourth proportional to 442,601,438.40, 620,549,006.40 and 442,601,438.40 is: 620,549,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,601,438.40 : 620,549,006.40 = 442,601,438.40 : x
  2. Step 2: Convert to fraction form
    442,601,438.40/620,549,006.40 = 442,601,438.40/x
  3. Step 3: Cross multiply
    442,601,438.40x = 620,549,006.40 × 442,601,438.40
  4. Step 4: Simplify right side
    442,601,438.40x = 274,655,882,830,330,784
  5. Step 5: Solve for x
    x = 274,655,882,830,330,784/442,601,438.40
  6. Step 6: Final answer
    x = 620,549,006.40

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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.