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Finding the Fourth Proportional to 784,407,148,277.20, 1,174,751,104,068.60 and 784,407,148,277.20

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Solution

The fourth proportional to 784,407,148,277.20, 1,174,751,104,068.60 and 784,407,148,277.20 is: 1,174,751,104,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,407,148,277.20 : 1,174,751,104,068.60 = 784,407,148,277.20 : x
  2. Step 2: Convert to fraction form
    784,407,148,277.20/1,174,751,104,068.60 = 784,407,148,277.20/x
  3. Step 3: Cross multiply
    784,407,148,277.20x = 1,174,751,104,068.60 × 784,407,148,277.20
  4. Step 4: Simplify right side
    784,407,148,277.20x = 921,483,163,477,942,724,460,544
  5. Step 5: Solve for x
    x = 921,483,163,477,942,724,460,544/784,407,148,277.20
  6. Step 6: Final answer
    x = 1,174,751,104,068.60

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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.