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Finding the Fourth Proportional to 977,881,978.40, 1,466,822,967.60 and 589,504,895.60

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Solution

The fourth proportional to 977,881,978.40, 1,466,822,967.60 and 589,504,895.60 is: 884,257,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,881,978.40 : 1,466,822,967.60 = 589,504,895.60 : x
  2. Step 2: Convert to fraction form
    977,881,978.40/1,466,822,967.60 = 589,504,895.60/x
  3. Step 3: Cross multiply
    977,881,978.40x = 1,466,822,967.60 × 589,504,895.60
  4. Step 4: Simplify right side
    977,881,978.40x = 864,699,320,378,720,128
  5. Step 5: Solve for x
    x = 864,699,320,378,720,128/977,881,978.40
  6. Step 6: Final answer
    x = 884,257,343.40

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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.