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Finding the Fourth Proportional to 4,130,065,537.60, 5,786,391,569.60 and 4,130,065,537.60

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Solution

The fourth proportional to 4,130,065,537.60, 5,786,391,569.60 and 4,130,065,537.60 is: 5,786,391,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130,065,537.60 : 5,786,391,569.60 = 4,130,065,537.60 : x
  2. Step 2: Convert to fraction form
    4,130,065,537.60/5,786,391,569.60 = 4,130,065,537.60/x
  3. Step 3: Cross multiply
    4,130,065,537.60x = 5,786,391,569.60 × 4,130,065,537.60
  4. Step 4: Simplify right side
    4,130,065,537.60x = 23,898,176,408,664,133,632
  5. Step 5: Solve for x
    x = 23,898,176,408,664,133,632/4,130,065,537.60
  6. Step 6: Final answer
    x = 5,786,391,569.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.