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Finding the Fourth Proportional to 471,922,683,491.80, 707,884,025,237.70 and 471,922,683,491.80

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Solution

The fourth proportional to 471,922,683,491.80, 707,884,025,237.70 and 471,922,683,491.80 is: 707,884,025,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,922,683,491.80 : 707,884,025,237.70 = 471,922,683,491.80 : x
  2. Step 2: Convert to fraction form
    471,922,683,491.80/707,884,025,237.70 = 471,922,683,491.80/x
  3. Step 3: Cross multiply
    471,922,683,491.80x = 707,884,025,237.70 × 471,922,683,491.80
  4. Step 4: Simplify right side
    471,922,683,491.80x = 334,066,528,791,152,404,987,904
  5. Step 5: Solve for x
    x = 334,066,528,791,152,404,987,904/471,922,683,491.80
  6. Step 6: Final answer
    x = 707,884,025,237.70

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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.