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Finding the Fourth Proportional to 1,065,354,843.87, 1,470,130,381.19 and 589,017,673.87

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Solution

The fourth proportional to 1,065,354,843.87, 1,470,130,381.19 and 589,017,673.87 is: 812,811,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,354,843.87 : 1,470,130,381.19 = 589,017,673.87 : x
  2. Step 2: Convert to fraction form
    1,065,354,843.87/1,470,130,381.19 = 589,017,673.87/x
  3. Step 3: Cross multiply
    1,065,354,843.87x = 1,470,130,381.19 × 589,017,673.87
  4. Step 4: Simplify right side
    1,065,354,843.87x = 865,932,777,411,947,392
  5. Step 5: Solve for x
    x = 865,932,777,411,947,392/1,065,354,843.87
  6. Step 6: Final answer
    x = 812,811,602.06

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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.