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Finding the Fourth Proportional to 778,946,674.78, 1,075,018,522.71 and 431,266,162.78

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Solution

The fourth proportional to 778,946,674.78, 1,075,018,522.71 and 431,266,162.78 is: 595,187,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,946,674.78 : 1,075,018,522.71 = 431,266,162.78 : x
  2. Step 2: Convert to fraction form
    778,946,674.78/1,075,018,522.71 = 431,266,162.78/x
  3. Step 3: Cross multiply
    778,946,674.78x = 1,075,018,522.71 × 431,266,162.78
  4. Step 4: Simplify right side
    778,946,674.78x = 463,619,113,206,565,952
  5. Step 5: Solve for x
    x = 463,619,113,206,565,952/778,946,674.78
  6. Step 6: Final answer
    x = 595,187,229.39

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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.