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Finding the Fourth Proportional to 14,441,071,509.40, 21,661,607,264.10 and 14,441,071,509.40

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Solution

The fourth proportional to 14,441,071,509.40, 21,661,607,264.10 and 14,441,071,509.40 is: 21,661,607,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441,071,509.40 : 21,661,607,264.10 = 14,441,071,509.40 : x
  2. Step 2: Convert to fraction form
    14,441,071,509.40/21,661,607,264.10 = 14,441,071,509.40/x
  3. Step 3: Cross multiply
    14,441,071,509.40x = 21,661,607,264.10 × 14,441,071,509.40
  4. Step 4: Simplify right side
    14,441,071,509.40x = 312,816,819,509,406,531,584
  5. Step 5: Solve for x
    x = 312,816,819,509,406,531,584/14,441,071,509.40
  6. Step 6: Final answer
    x = 21,661,607,264.10

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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.