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Finding the Fourth Proportional to 977,426,502,458.40, 1,466,139,753,687.60 and 977,426,502,458.40

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Solution

The fourth proportional to 977,426,502,458.40, 1,466,139,753,687.60 and 977,426,502,458.40 is: 1,466,139,753,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,426,502,458.40 : 1,466,139,753,687.60 = 977,426,502,458.40 : x
  2. Step 2: Convert to fraction form
    977,426,502,458.40/1,466,139,753,687.60 = 977,426,502,458.40/x
  3. Step 3: Cross multiply
    977,426,502,458.40x = 1,466,139,753,687.60 × 977,426,502,458.40
  4. Step 4: Simplify right side
    977,426,502,458.40x = 1,433,043,851,562,091,039,162,368
  5. Step 5: Solve for x
    x = 1,433,043,851,562,091,039,162,368/977,426,502,458.40
  6. Step 6: Final answer
    x = 1,466,139,753,687.60

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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.