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Finding the Fourth Proportional to 30,483,864,006.90, 45,725,796,010.35 and 30,483,864,006.90

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Solution

The fourth proportional to 30,483,864,006.90, 45,725,796,010.35 and 30,483,864,006.90 is: 45,725,796,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,483,864,006.90 : 45,725,796,010.35 = 30,483,864,006.90 : x
  2. Step 2: Convert to fraction form
    30,483,864,006.90/45,725,796,010.35 = 30,483,864,006.90/x
  3. Step 3: Cross multiply
    30,483,864,006.90x = 45,725,796,010.35 × 30,483,864,006.90
  4. Step 4: Simplify right side
    30,483,864,006.90x = 1,393,898,947,186,760,089,600
  5. Step 5: Solve for x
    x = 1,393,898,947,186,760,089,600/30,483,864,006.90
  6. Step 6: Final answer
    x = 45,725,796,010.35

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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.