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Finding the Fourth Proportional to 436,752,710,522.70, 655,129,065,784.05 and 436,752,710,522.70

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Solution

The fourth proportional to 436,752,710,522.70, 655,129,065,784.05 and 436,752,710,522.70 is: 655,129,065,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,752,710,522.70 : 655,129,065,784.05 = 436,752,710,522.70 : x
  2. Step 2: Convert to fraction form
    436,752,710,522.70/655,129,065,784.05 = 436,752,710,522.70/x
  3. Step 3: Cross multiply
    436,752,710,522.70x = 655,129,065,784.05 × 436,752,710,522.70
  4. Step 4: Simplify right side
    436,752,710,522.70x = 286,129,395,223,388,120,678,400
  5. Step 5: Solve for x
    x = 286,129,395,223,388,120,678,400/436,752,710,522.70
  6. Step 6: Final answer
    x = 655,129,065,784.05

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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.