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Finding the Fourth Proportional to 1,269,689,575.71, 1,752,175,674.15 and 705,174,355.71

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Solution

The fourth proportional to 1,269,689,575.71, 1,752,175,674.15 and 705,174,355.71 is: 973,142,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,689,575.71 : 1,752,175,674.15 = 705,174,355.71 : x
  2. Step 2: Convert to fraction form
    1,269,689,575.71/1,752,175,674.15 = 705,174,355.71/x
  3. Step 3: Cross multiply
    1,269,689,575.71x = 1,752,175,674.15 × 705,174,355.71
  4. Step 4: Simplify right side
    1,269,689,575.71x = 1,235,589,352,109,461,248
  5. Step 5: Solve for x
    x = 1,235,589,352,109,461,248/1,269,689,575.71
  6. Step 6: Final answer
    x = 973,142,865.58

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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.