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Finding the Fourth Proportional to 702,973,709.80, 1,054,460,564.70 and 589,032,759.40

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Solution

The fourth proportional to 702,973,709.80, 1,054,460,564.70 and 589,032,759.40 is: 883,549,139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,973,709.80 : 1,054,460,564.70 = 589,032,759.40 : x
  2. Step 2: Convert to fraction form
    702,973,709.80/1,054,460,564.70 = 589,032,759.40/x
  3. Step 3: Cross multiply
    702,973,709.80x = 1,054,460,564.70 × 589,032,759.40
  4. Step 4: Simplify right side
    702,973,709.80x = 621,111,816,103,723,264
  5. Step 5: Solve for x
    x = 621,111,816,103,723,264/702,973,709.80
  6. Step 6: Final answer
    x = 883,549,139.10

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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.