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Finding the Fourth Proportional to 505,197,078.60, 705,554,041.20 and 505,197,078.60

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Solution

The fourth proportional to 505,197,078.60, 705,554,041.20 and 505,197,078.60 is: 705,554,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,197,078.60 : 705,554,041.20 = 505,197,078.60 : x
  2. Step 2: Convert to fraction form
    505,197,078.60/705,554,041.20 = 505,197,078.60/x
  3. Step 3: Cross multiply
    505,197,078.60x = 705,554,041.20 × 505,197,078.60
  4. Step 4: Simplify right side
    505,197,078.60x = 356,443,840,408,664,064
  5. Step 5: Solve for x
    x = 356,443,840,408,664,064/505,197,078.60
  6. Step 6: Final answer
    x = 705,554,041.20

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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.