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Finding the Fourth Proportional to 478,993,971.60, 661,012,617.60 and 258,977,397.60

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Solution

The fourth proportional to 478,993,971.60, 661,012,617.60 and 258,977,397.60 is: 357,389,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,993,971.60 : 661,012,617.60 = 258,977,397.60 : x
  2. Step 2: Convert to fraction form
    478,993,971.60/661,012,617.60 = 258,977,397.60/x
  3. Step 3: Cross multiply
    478,993,971.60x = 661,012,617.60 × 258,977,397.60
  4. Step 4: Simplify right side
    478,993,971.60x = 171,187,327,486,811,968
  5. Step 5: Solve for x
    x = 171,187,327,486,811,968/478,993,971.60
  6. Step 6: Final answer
    x = 357,389,315.18

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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.