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Finding the Fourth Proportional to 163,784,693,999.70, 245,309,708,980.35 and 163,784,693,999.70

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Solution

The fourth proportional to 163,784,693,999.70, 245,309,708,980.35 and 163,784,693,999.70 is: 245,309,708,980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,784,693,999.70 : 245,309,708,980.35 = 163,784,693,999.70 : x
  2. Step 2: Convert to fraction form
    163,784,693,999.70/245,309,708,980.35 = 163,784,693,999.70/x
  3. Step 3: Cross multiply
    163,784,693,999.70x = 245,309,708,980.35 × 163,784,693,999.70
  4. Step 4: Simplify right side
    163,784,693,999.70x = 40,177,975,620,502,084,911,104
  5. Step 5: Solve for x
    x = 40,177,975,620,502,084,911,104/163,784,693,999.70
  6. Step 6: Final answer
    x = 245,309,708,980.35

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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.