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Finding the Fourth Proportional to 127,650,871,365.60, 191,476,307,048.40 and 127,650,871,365.60

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Solution

The fourth proportional to 127,650,871,365.60, 191,476,307,048.40 and 127,650,871,365.60 is: 191,476,307,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,650,871,365.60 : 191,476,307,048.40 = 127,650,871,365.60 : x
  2. Step 2: Convert to fraction form
    127,650,871,365.60/191,476,307,048.40 = 127,650,871,365.60/x
  3. Step 3: Cross multiply
    127,650,871,365.60x = 191,476,307,048.40 × 127,650,871,365.60
  4. Step 4: Simplify right side
    127,650,871,365.60x = 24,442,117,440,595,438,862,336
  5. Step 5: Solve for x
    x = 24,442,117,440,595,438,862,336/127,650,871,365.60
  6. Step 6: Final answer
    x = 191,476,307,048.40

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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.