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Finding the Fourth Proportional to 297,943,773.02, 446,625,813.42 and 142,457,175.26

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Solution

The fourth proportional to 297,943,773.02, 446,625,813.42 and 142,457,175.26 is: 213,547,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,943,773.02 : 446,625,813.42 = 142,457,175.26 : x
  2. Step 2: Convert to fraction form
    297,943,773.02/446,625,813.42 = 142,457,175.26/x
  3. Step 3: Cross multiply
    297,943,773.02x = 446,625,813.42 × 142,457,175.26
  4. Step 4: Simplify right side
    297,943,773.02x = 63,625,051,778,013,000
  5. Step 5: Solve for x
    x = 63,625,051,778,013,000/297,943,773.02
  6. Step 6: Final answer
    x = 213,547,177.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.