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Finding the Fourth Proportional to 330,050,592,023.60, 495,075,888,035.40 and 330,050,592,023.60

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Solution

The fourth proportional to 330,050,592,023.60, 495,075,888,035.40 and 330,050,592,023.60 is: 495,075,888,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,050,592,023.60 : 495,075,888,035.40 = 330,050,592,023.60 : x
  2. Step 2: Convert to fraction form
    330,050,592,023.60/495,075,888,035.40 = 330,050,592,023.60/x
  3. Step 3: Cross multiply
    330,050,592,023.60x = 495,075,888,035.40 × 330,050,592,023.60
  4. Step 4: Simplify right side
    330,050,592,023.60x = 163,400,089,942,693,259,509,760
  5. Step 5: Solve for x
    x = 163,400,089,942,693,259,509,760/330,050,592,023.60
  6. Step 6: Final answer
    x = 495,075,888,035.40

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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.