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Finding the Fourth Proportional to 618,099,426,101.60, 927,149,139,152.40 and 618,099,426,101.60

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Solution

The fourth proportional to 618,099,426,101.60, 927,149,139,152.40 and 618,099,426,101.60 is: 927,149,139,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,099,426,101.60 : 927,149,139,152.40 = 618,099,426,101.60 : x
  2. Step 2: Convert to fraction form
    618,099,426,101.60/927,149,139,152.40 = 618,099,426,101.60/x
  3. Step 3: Cross multiply
    618,099,426,101.60x = 927,149,139,152.40 × 618,099,426,101.60
  4. Step 4: Simplify right side
    618,099,426,101.60x = 573,070,350,820,690,926,501,888
  5. Step 5: Solve for x
    x = 573,070,350,820,690,926,501,888/618,099,426,101.60
  6. Step 6: Final answer
    x = 927,149,139,152.40

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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.