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Finding the Fourth Proportional to 223,064,066,998.40, 334,596,100,497.60 and 223,064,066,998.40

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Solution

The fourth proportional to 223,064,066,998.40, 334,596,100,497.60 and 223,064,066,998.40 is: 334,596,100,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,064,066,998.40 : 334,596,100,497.60 = 223,064,066,998.40 : x
  2. Step 2: Convert to fraction form
    223,064,066,998.40/334,596,100,497.60 = 223,064,066,998.40/x
  3. Step 3: Cross multiply
    223,064,066,998.40x = 334,596,100,497.60 × 223,064,066,998.40
  4. Step 4: Simplify right side
    223,064,066,998.40x = 74,636,366,978,800,020,357,120
  5. Step 5: Solve for x
    x = 74,636,366,978,800,020,357,120/223,064,066,998.40
  6. Step 6: Final answer
    x = 334,596,100,497.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.