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Finding the Fourth Proportional to 20,326,713,105,360, 30,490,069,658,038 and 20,326,713,105,360

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Solution

The fourth proportional to 20,326,713,105,360, 30,490,069,658,038 and 20,326,713,105,360 is: 30,490,069,658,038

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,326,713,105,360 : 30,490,069,658,038 = 20,326,713,105,360 : x
  2. Step 2: Convert to fraction form
    20,326,713,105,360/30,490,069,658,038 = 20,326,713,105,360/x
  3. Step 3: Cross multiply
    20,326,713,105,360x = 30,490,069,658,038 × 20,326,713,105,360
  4. Step 4: Simplify right side
    20,326,713,105,360x = 619,762,898,501,380,333,975,371,776
  5. Step 5: Solve for x
    x = 619,762,898,501,380,333,975,371,776/20,326,713,105,360
  6. Step 6: Final answer
    x = 30,490,069,658,038

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1.5x scale

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.