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Finding the Fourth Proportional to 505,197,095.85, 705,554,065.35 and 505,197,095.85

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Solution

The fourth proportional to 505,197,095.85, 705,554,065.35 and 505,197,095.85 is: 705,554,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,197,095.85 : 705,554,065.35 = 505,197,095.85 : x
  2. Step 2: Convert to fraction form
    505,197,095.85/705,554,065.35 = 505,197,095.85/x
  3. Step 3: Cross multiply
    505,197,095.85x = 705,554,065.35 × 505,197,095.85
  4. Step 4: Simplify right side
    505,197,095.85x = 356,443,864,779,981,120
  5. Step 5: Solve for x
    x = 356,443,864,779,981,120/505,197,095.85
  6. Step 6: Final answer
    x = 705,554,065.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.