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Finding the Fourth Proportional to 509,297,811.80, 763,946,717.70 and 509,297,811.80

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Solution

The fourth proportional to 509,297,811.80, 763,946,717.70 and 509,297,811.80 is: 763,946,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,297,811.80 : 763,946,717.70 = 509,297,811.80 : x
  2. Step 2: Convert to fraction form
    509,297,811.80/763,946,717.70 = 509,297,811.80/x
  3. Step 3: Cross multiply
    509,297,811.80x = 763,946,717.70 × 509,297,811.80
  4. Step 4: Simplify right side
    509,297,811.80x = 389,076,391,656,402,368
  5. Step 5: Solve for x
    x = 389,076,391,656,402,368/509,297,811.80
  6. Step 6: Final answer
    x = 763,946,717.70

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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.