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Finding the Fourth Proportional to 99,320,272,023.60, 148,980,408,035.40 and 99,320,272,023.60

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Solution

The fourth proportional to 99,320,272,023.60, 148,980,408,035.40 and 99,320,272,023.60 is: 148,980,408,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,320,272,023.60 : 148,980,408,035.40 = 99,320,272,023.60 : x
  2. Step 2: Convert to fraction form
    99,320,272,023.60/148,980,408,035.40 = 99,320,272,023.60/x
  3. Step 3: Cross multiply
    99,320,272,023.60x = 148,980,408,035.40 × 99,320,272,023.60
  4. Step 4: Simplify right side
    99,320,272,023.60x = 14,796,774,652,262,851,018,752
  5. Step 5: Solve for x
    x = 14,796,774,652,262,851,018,752/99,320,272,023.60
  6. Step 6: Final answer
    x = 148,980,408,035.40

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1.5x scale

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.