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Finding the Fourth Proportional to 20,326,713,105,356, 30,490,069,658,034 and 20,326,713,105,356

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Solution

The fourth proportional to 20,326,713,105,356, 30,490,069,658,034 and 20,326,713,105,356 is: 30,490,069,658,034

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,326,713,105,356 : 30,490,069,658,034 = 20,326,713,105,356 : x
  2. Step 2: Convert to fraction form
    20,326,713,105,356/30,490,069,658,034 = 20,326,713,105,356/x
  3. Step 3: Cross multiply
    20,326,713,105,356x = 30,490,069,658,034 × 20,326,713,105,356
  4. Step 4: Simplify right side
    20,326,713,105,356x = 619,762,898,501,177,061,763,186,688
  5. Step 5: Solve for x
    x = 619,762,898,501,177,061,763,186,688/20,326,713,105,356
  6. Step 6: Final answer
    x = 30,490,069,658,034

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