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Finding the Fourth Proportional to 202,773,994,645.60, 304,160,991,968.40 and 185,345,403,234.40

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Solution

The fourth proportional to 202,773,994,645.60, 304,160,991,968.40 and 185,345,403,234.40 is: 278,018,104,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,773,994,645.60 : 304,160,991,968.40 = 185,345,403,234.40 : x
  2. Step 2: Convert to fraction form
    202,773,994,645.60/304,160,991,968.40 = 185,345,403,234.40/x
  3. Step 3: Cross multiply
    202,773,994,645.60x = 304,160,991,968.40 × 185,345,403,234.40
  4. Step 4: Simplify right side
    202,773,994,645.60x = 56,374,841,704,558,201,143,296
  5. Step 5: Solve for x
    x = 56,374,841,704,558,201,143,296/202,773,994,645.60
  6. Step 6: Final answer
    x = 278,018,104,851.60

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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.