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Finding the Fourth Proportional to 145,224,875.60, 203,825,009.20 and 145,224,875.60

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Solution

The fourth proportional to 145,224,875.60, 203,825,009.20 and 145,224,875.60 is: 203,825,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,224,875.60 : 203,825,009.20 = 145,224,875.60 : x
  2. Step 2: Convert to fraction form
    145,224,875.60/203,825,009.20 = 145,224,875.60/x
  3. Step 3: Cross multiply
    145,224,875.60x = 203,825,009.20 × 145,224,875.60
  4. Step 4: Simplify right side
    145,224,875.60x = 29,600,461,605,238,852
  5. Step 5: Solve for x
    x = 29,600,461,605,238,852/145,224,875.60
  6. Step 6: Final answer
    x = 203,825,009.20

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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.