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Finding the Fourth Proportional to 471,922,683,485.42, 707,884,025,228.15 and 471,922,683,485.42

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Solution

The fourth proportional to 471,922,683,485.42, 707,884,025,228.15 and 471,922,683,485.42 is: 707,884,025,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,922,683,485.42 : 707,884,025,228.15 = 471,922,683,485.42 : x
  2. Step 2: Convert to fraction form
    471,922,683,485.42/707,884,025,228.15 = 471,922,683,485.42/x
  3. Step 3: Cross multiply
    471,922,683,485.42x = 707,884,025,228.15 × 471,922,683,485.42
  4. Step 4: Simplify right side
    471,922,683,485.42x = 334,066,528,782,129,282,678,784
  5. Step 5: Solve for x
    x = 334,066,528,782,129,282,678,784/471,922,683,485.42
  6. Step 6: Final answer
    x = 707,884,025,228.15

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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.