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Finding the Fourth Proportional to 10,571,831.40, 14,768,677.50 and 10,571,831.40

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Solution

The fourth proportional to 10,571,831.40, 14,768,677.50 and 10,571,831.40 is: 14,768,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571,831.40 : 14,768,677.50 = 10,571,831.40 : x
  2. Step 2: Convert to fraction form
    10,571,831.40/14,768,677.50 = 10,571,831.40/x
  3. Step 3: Cross multiply
    10,571,831.40x = 14,768,677.50 × 10,571,831.40
  4. Step 4: Simplify right side
    10,571,831.40x = 156,131,968,530,973.50
  5. Step 5: Solve for x
    x = 156,131,968,530,973.50/10,571,831.40
  6. Step 6: Final answer
    x = 14,768,677.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.