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Finding the Fourth Proportional to 1,437,394,986.86, 1,983,611,057.64 and 777,345,264.86

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Solution

The fourth proportional to 1,437,394,986.86, 1,983,611,057.64 and 777,345,264.86 is: 1,072,739,697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437,394,986.86 : 1,983,611,057.64 = 777,345,264.86 : x
  2. Step 2: Convert to fraction form
    1,437,394,986.86/1,983,611,057.64 = 777,345,264.86/x
  3. Step 3: Cross multiply
    1,437,394,986.86x = 1,983,611,057.64 × 777,345,264.86
  4. Step 4: Simplify right side
    1,437,394,986.86x = 1,541,950,662,980,390,656
  5. Step 5: Solve for x
    x = 1,541,950,662,980,390,656/1,437,394,986.86
  6. Step 6: Final answer
    x = 1,072,739,697.21

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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.