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Finding the Fourth Proportional to 898,009,953.60, 1,346,007,160.80 and 510,018,657.60

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Solution

The fourth proportional to 898,009,953.60, 1,346,007,160.80 and 510,018,657.60 is: 764,455,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,009,953.60 : 1,346,007,160.80 = 510,018,657.60 : x
  2. Step 2: Convert to fraction form
    898,009,953.60/1,346,007,160.80 = 510,018,657.60/x
  3. Step 3: Cross multiply
    898,009,953.60x = 1,346,007,160.80 × 510,018,657.60
  4. Step 4: Simplify right side
    898,009,953.60x = 686,488,765,271,203,328
  5. Step 5: Solve for x
    x = 686,488,765,271,203,328/898,009,953.60
  6. Step 6: Final answer
    x = 764,455,630.50

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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.