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Finding the Fourth Proportional to 1,001,010,405.30, 1,501,515,607.95 and 571,028,709.30

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Solution

The fourth proportional to 1,001,010,405.30, 1,501,515,607.95 and 571,028,709.30 is: 856,543,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,010,405.30 : 1,501,515,607.95 = 571,028,709.30 : x
  2. Step 2: Convert to fraction form
    1,001,010,405.30/1,501,515,607.95 = 571,028,709.30/x
  3. Step 3: Cross multiply
    1,001,010,405.30x = 1,501,515,607.95 × 571,028,709.30
  4. Step 4: Simplify right side
    1,001,010,405.30x = 857,408,519,601,493,248
  5. Step 5: Solve for x
    x = 857,408,519,601,493,248/1,001,010,405.30
  6. Step 6: Final answer
    x = 856,543,063.95

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1.5x scale

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.