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Finding the Fourth Proportional to 208,656,276,985.20, 312,984,415,477.80 and 208,656,276,985.20

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Solution

The fourth proportional to 208,656,276,985.20, 312,984,415,477.80 and 208,656,276,985.20 is: 312,984,415,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,656,276,985.20 : 312,984,415,477.80 = 208,656,276,985.20 : x
  2. Step 2: Convert to fraction form
    208,656,276,985.20/312,984,415,477.80 = 208,656,276,985.20/x
  3. Step 3: Cross multiply
    208,656,276,985.20x = 312,984,415,477.80 × 208,656,276,985.20
  4. Step 4: Simplify right side
    208,656,276,985.20x = 65,306,162,887,986,757,238,784
  5. Step 5: Solve for x
    x = 65,306,162,887,986,757,238,784/208,656,276,985.20
  6. Step 6: Final answer
    x = 312,984,415,477.80

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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.