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Finding the Fourth Proportional to 390,012,489,033.72, 585,018,733,550.60 and 390,012,489,033.72

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Solution

The fourth proportional to 390,012,489,033.72, 585,018,733,550.60 and 390,012,489,033.72 is: 585,018,733,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,012,489,033.72 : 585,018,733,550.60 = 390,012,489,033.72 : x
  2. Step 2: Convert to fraction form
    390,012,489,033.72/585,018,733,550.60 = 390,012,489,033.72/x
  3. Step 3: Cross multiply
    390,012,489,033.72x = 585,018,733,550.60 × 390,012,489,033.72
  4. Step 4: Simplify right side
    390,012,489,033.72x = 228,164,612,403,424,112,148,480
  5. Step 5: Solve for x
    x = 228,164,612,403,424,112,148,480/390,012,489,033.72
  6. Step 6: Final answer
    x = 585,018,733,550.60

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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.