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Finding the Fourth Proportional to 431,364,096,030.40, 646,175,431,111.20 and 431,364,096,030.40

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Solution

The fourth proportional to 431,364,096,030.40, 646,175,431,111.20 and 431,364,096,030.40 is: 646,175,431,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,364,096,030.40 : 646,175,431,111.20 = 431,364,096,030.40 : x
  2. Step 2: Convert to fraction form
    431,364,096,030.40/646,175,431,111.20 = 431,364,096,030.40/x
  3. Step 3: Cross multiply
    431,364,096,030.40x = 646,175,431,111.20 × 431,364,096,030.40
  4. Step 4: Simplify right side
    431,364,096,030.40x = 278,736,880,718,336,776,732,672
  5. Step 5: Solve for x
    x = 278,736,880,718,336,776,732,672/431,364,096,030.40
  6. Step 6: Final answer
    x = 646,175,431,111.20

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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.