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Finding the Fourth Proportional to 2,018,398,085.80, 3,020,794,683.90 and 2,018,398,085.80

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Solution

The fourth proportional to 2,018,398,085.80, 3,020,794,683.90 and 2,018,398,085.80 is: 3,020,794,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018,398,085.80 : 3,020,794,683.90 = 2,018,398,085.80 : x
  2. Step 2: Convert to fraction form
    2,018,398,085.80/3,020,794,683.90 = 2,018,398,085.80/x
  3. Step 3: Cross multiply
    2,018,398,085.80x = 3,020,794,683.90 × 2,018,398,085.80
  4. Step 4: Simplify right side
    2,018,398,085.80x = 6,097,166,207,578,575,872
  5. Step 5: Solve for x
    x = 6,097,166,207,578,575,872/2,018,398,085.80
  6. Step 6: Final answer
    x = 3,020,794,683.90

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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.