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Finding the Fourth Proportional to 1,047,905,709.98, 1,446,114,375.60 and 571,606,458.54

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Solution

The fourth proportional to 1,047,905,709.98, 1,446,114,375.60 and 571,606,458.54 is: 788,819,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,905,709.98 : 1,446,114,375.60 = 571,606,458.54 : x
  2. Step 2: Convert to fraction form
    1,047,905,709.98/1,446,114,375.60 = 571,606,458.54/x
  3. Step 3: Cross multiply
    1,047,905,709.98x = 1,446,114,375.60 × 571,606,458.54
  4. Step 4: Simplify right side
    1,047,905,709.98x = 826,608,316,880,499,328
  5. Step 5: Solve for x
    x = 826,608,316,880,499,328/1,047,905,709.98
  6. Step 6: Final answer
    x = 788,819,365.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.