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Finding the Fourth Proportional to 816,702,005.80, 1,225,053,008.70 and 816,702,005.80

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Solution

The fourth proportional to 816,702,005.80, 1,225,053,008.70 and 816,702,005.80 is: 1,225,053,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,702,005.80 : 1,225,053,008.70 = 816,702,005.80 : x
  2. Step 2: Convert to fraction form
    816,702,005.80/1,225,053,008.70 = 816,702,005.80/x
  3. Step 3: Cross multiply
    816,702,005.80x = 1,225,053,008.70 × 816,702,005.80
  4. Step 4: Simplify right side
    816,702,005.80x = 1,000,503,249,416,614,784
  5. Step 5: Solve for x
    x = 1,000,503,249,416,614,784/816,702,005.80
  6. Step 6: Final answer
    x = 1,225,053,008.70

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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.