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Finding the Fourth Proportional to 689,852,245.60, 1,034,778,368.40 and 689,852,245.60

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Solution

The fourth proportional to 689,852,245.60, 1,034,778,368.40 and 689,852,245.60 is: 1,034,778,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,852,245.60 : 1,034,778,368.40 = 689,852,245.60 : x
  2. Step 2: Convert to fraction form
    689,852,245.60/1,034,778,368.40 = 689,852,245.60/x
  3. Step 3: Cross multiply
    689,852,245.60x = 1,034,778,368.40 × 689,852,245.60
  4. Step 4: Simplify right side
    689,852,245.60x = 713,844,181,139,044,096
  5. Step 5: Solve for x
    x = 713,844,181,139,044,096/689,852,245.60
  6. Step 6: Final answer
    x = 1,034,778,368.40

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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.