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Finding the Fourth Proportional to 582,119,212.40, 873,603,971.40 and 409,932,328.40

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Solution

The fourth proportional to 582,119,212.40, 873,603,971.40 and 409,932,328.40 is: 615,197,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,119,212.40 : 873,603,971.40 = 409,932,328.40 : x
  2. Step 2: Convert to fraction form
    582,119,212.40/873,603,971.40 = 409,932,328.40/x
  3. Step 3: Cross multiply
    582,119,212.40x = 873,603,971.40 × 409,932,328.40
  4. Step 4: Simplify right side
    582,119,212.40x = 358,118,510,095,488,960
  5. Step 5: Solve for x
    x = 358,118,510,095,488,960/582,119,212.40
  6. Step 6: Final answer
    x = 615,197,888.11

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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.