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Finding the Fourth Proportional to 556,943,606,999.90, 835,415,410,499.80 and 556,943,606,999.90

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Solution

The fourth proportional to 556,943,606,999.90, 835,415,410,499.80 and 556,943,606,999.90 is: 835,415,410,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,943,606,999.90 : 835,415,410,499.80 = 556,943,606,999.90 : x
  2. Step 2: Convert to fraction form
    556,943,606,999.90/835,415,410,499.80 = 556,943,606,999.90/x
  3. Step 3: Cross multiply
    556,943,606,999.90x = 835,415,410,499.80 × 556,943,606,999.90
  4. Step 4: Simplify right side
    556,943,606,999.90x = 465,279,272,067,060,788,625,408
  5. Step 5: Solve for x
    x = 465,279,272,067,060,788,625,408/556,943,606,999.90
  6. Step 6: Final answer
    x = 835,415,410,499.80

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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.