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Finding the Fourth Proportional to 409,641,144,706.40, 614,461,717,059.60 and 409,641,144,706.40

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Solution

The fourth proportional to 409,641,144,706.40, 614,461,717,059.60 and 409,641,144,706.40 is: 614,461,717,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,641,144,706.40 : 614,461,717,059.60 = 409,641,144,706.40 : x
  2. Step 2: Convert to fraction form
    409,641,144,706.40/614,461,717,059.60 = 409,641,144,706.40/x
  3. Step 3: Cross multiply
    409,641,144,706.40x = 614,461,717,059.60 × 409,641,144,706.40
  4. Step 4: Simplify right side
    409,641,144,706.40x = 251,708,801,154,554,624,212,992
  5. Step 5: Solve for x
    x = 251,708,801,154,554,624,212,992/409,641,144,706.40
  6. Step 6: Final answer
    x = 614,461,717,059.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.