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Finding the Fourth Proportional to 496,865,903.52, 685,677,666.24 and 288,145,796.16

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Solution

The fourth proportional to 496,865,903.52, 685,677,666.24 and 288,145,796.16 is: 397,642,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,865,903.52 : 685,677,666.24 = 288,145,796.16 : x
  2. Step 2: Convert to fraction form
    496,865,903.52/685,677,666.24 = 288,145,796.16/x
  3. Step 3: Cross multiply
    496,865,903.52x = 685,677,666.24 × 288,145,796.16
  4. Step 4: Simplify right side
    496,865,903.52x = 197,575,137,047,855,584
  5. Step 5: Solve for x
    x = 197,575,137,047,855,584/496,865,903.52
  6. Step 6: Final answer
    x = 397,642,775.74

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