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Finding the Fourth Proportional to 1,140,351,073.21, 1,573,684,494.47 and 618,830,305.21

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Solution

The fourth proportional to 1,140,351,073.21, 1,573,684,494.47 and 618,830,305.21 is: 853,985,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,351,073.21 : 1,573,684,494.47 = 618,830,305.21 : x
  2. Step 2: Convert to fraction form
    1,140,351,073.21/1,573,684,494.47 = 618,830,305.21/x
  3. Step 3: Cross multiply
    1,140,351,073.21x = 1,573,684,494.47 × 618,830,305.21
  4. Step 4: Simplify right side
    1,140,351,073.21x = 973,843,656,017,114,752
  5. Step 5: Solve for x
    x = 973,843,656,017,114,752/1,140,351,073.21
  6. Step 6: Final answer
    x = 853,985,828.48

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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.