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Finding the Fourth Proportional to 19,361,874,409.60, 29,042,811,614.40 and 19,361,874,409.60

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Solution

The fourth proportional to 19,361,874,409.60, 29,042,811,614.40 and 19,361,874,409.60 is: 29,042,811,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,361,874,409.60 : 29,042,811,614.40 = 19,361,874,409.60 : x
  2. Step 2: Convert to fraction form
    19,361,874,409.60/29,042,811,614.40 = 19,361,874,409.60/x
  3. Step 3: Cross multiply
    19,361,874,409.60x = 29,042,811,614.40 × 19,361,874,409.60
  4. Step 4: Simplify right side
    19,361,874,409.60x = 562,323,270,979,684,990,976
  5. Step 5: Solve for x
    x = 562,323,270,979,684,990,976/19,361,874,409.60
  6. Step 6: Final answer
    x = 29,042,811,614.40

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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.