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Finding the Fourth Proportional to 99,320,272,044.60, 148,980,408,066.90 and 99,320,272,044.60

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Solution

The fourth proportional to 99,320,272,044.60, 148,980,408,066.90 and 99,320,272,044.60 is: 148,980,408,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,320,272,044.60 : 148,980,408,066.90 = 99,320,272,044.60 : x
  2. Step 2: Convert to fraction form
    99,320,272,044.60/148,980,408,066.90 = 99,320,272,044.60/x
  3. Step 3: Cross multiply
    99,320,272,044.60x = 148,980,408,066.90 × 99,320,272,044.60
  4. Step 4: Simplify right side
    99,320,272,044.60x = 14,796,774,658,520,029,069,312
  5. Step 5: Solve for x
    x = 14,796,774,658,520,029,069,312/99,320,272,044.60
  6. Step 6: Final answer
    x = 148,980,408,066.90

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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.