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Finding the Fourth Proportional to 397,973,742,808.60, 596,960,614,212.90 and 397,973,742,808.60

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Solution

The fourth proportional to 397,973,742,808.60, 596,960,614,212.90 and 397,973,742,808.60 is: 596,960,614,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,973,742,808.60 : 596,960,614,212.90 = 397,973,742,808.60 : x
  2. Step 2: Convert to fraction form
    397,973,742,808.60/596,960,614,212.90 = 397,973,742,808.60/x
  3. Step 3: Cross multiply
    397,973,742,808.60x = 596,960,614,212.90 × 397,973,742,808.60
  4. Step 4: Simplify right side
    397,973,742,808.60x = 237,574,649,947,628,538,691,584
  5. Step 5: Solve for x
    x = 237,574,649,947,628,538,691,584/397,973,742,808.60
  6. Step 6: Final answer
    x = 596,960,614,212.90

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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.