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Finding the Fourth Proportional to 30,606,336,442.05, 45,909,504,663.08 and 30,606,336,442.05

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Solution

The fourth proportional to 30,606,336,442.05, 45,909,504,663.08 and 30,606,336,442.05 is: 45,909,504,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,606,336,442.05 : 45,909,504,663.08 = 30,606,336,442.05 : x
  2. Step 2: Convert to fraction form
    30,606,336,442.05/45,909,504,663.08 = 30,606,336,442.05/x
  3. Step 3: Cross multiply
    30,606,336,442.05x = 45,909,504,663.08 × 30,606,336,442.05
  4. Step 4: Simplify right side
    30,606,336,442.05x = 1,405,121,745,605,936,545,792
  5. Step 5: Solve for x
    x = 1,405,121,745,605,936,545,792/30,606,336,442.05
  6. Step 6: Final answer
    x = 45,909,504,663.08

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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.