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Finding the Fourth Proportional to 660,501,006.40, 990,751,509.60 and 200,438,437.60

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Solution

The fourth proportional to 660,501,006.40, 990,751,509.60 and 200,438,437.60 is: 300,657,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,501,006.40 : 990,751,509.60 = 200,438,437.60 : x
  2. Step 2: Convert to fraction form
    660,501,006.40/990,751,509.60 = 200,438,437.60/x
  3. Step 3: Cross multiply
    660,501,006.40x = 990,751,509.60 × 200,438,437.60
  4. Step 4: Simplify right side
    660,501,006.40x = 198,584,684,634,065,408
  5. Step 5: Solve for x
    x = 198,584,684,634,065,408/660,501,006.40
  6. Step 6: Final answer
    x = 300,657,656.40

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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.