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Finding the Fourth Proportional to 780,194,851.40, 1,170,292,277.10 and 780,194,851.40

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Solution

The fourth proportional to 780,194,851.40, 1,170,292,277.10 and 780,194,851.40 is: 1,170,292,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,194,851.40 : 1,170,292,277.10 = 780,194,851.40 : x
  2. Step 2: Convert to fraction form
    780,194,851.40/1,170,292,277.10 = 780,194,851.40/x
  3. Step 3: Cross multiply
    780,194,851.40x = 1,170,292,277.10 × 780,194,851.40
  4. Step 4: Simplify right side
    780,194,851.40x = 913,056,009,226,601,984
  5. Step 5: Solve for x
    x = 913,056,009,226,601,984/780,194,851.40
  6. Step 6: Final answer
    x = 1,170,292,277.10

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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.