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Finding the Fourth Proportional to 1,583,908,302.96, 2,375,953,248.34 and 419,346,532.94

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Solution

The fourth proportional to 1,583,908,302.96, 2,375,953,248.34 and 419,346,532.94 is: 629,043,837.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,908,302.96 : 2,375,953,248.34 = 419,346,532.94 : x
  2. Step 2: Convert to fraction form
    1,583,908,302.96/2,375,953,248.34 = 419,346,532.94/x
  3. Step 3: Cross multiply
    1,583,908,302.96x = 2,375,953,248.34 × 419,346,532.94
  4. Step 4: Simplify right side
    1,583,908,302.96x = 996,347,757,118,909,824
  5. Step 5: Solve for x
    x = 996,347,757,118,909,824/1,583,908,302.96
  6. Step 6: Final answer
    x = 629,043,837.49

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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.