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Finding the Fourth Proportional to 553,106,514.20, 829,659,771.30 and 553,106,514.20

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Solution

The fourth proportional to 553,106,514.20, 829,659,771.30 and 553,106,514.20 is: 829,659,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,106,514.20 : 829,659,771.30 = 553,106,514.20 : x
  2. Step 2: Convert to fraction form
    553,106,514.20/829,659,771.30 = 553,106,514.20/x
  3. Step 3: Cross multiply
    553,106,514.20x = 829,659,771.30 × 553,106,514.20
  4. Step 4: Simplify right side
    553,106,514.20x = 458,890,224,075,712,192
  5. Step 5: Solve for x
    x = 458,890,224,075,712,192/553,106,514.20
  6. Step 6: Final answer
    x = 829,659,771.30

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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.