Finding the Fourth Proportional to 698,164,006,303.75, 1,047,246,009,455.70 and 698,164,006,303.75
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Solution
The fourth proportional to 698,164,006,303.75, 1,047,246,009,455.70 and 698,164,006,303.75 is: 1,047,246,009,455.70
Step by Step Solution
- Step 1: Write the proportion equation
698,164,006,303.75 : 1,047,246,009,455.70 = 698,164,006,303.75 : x - Step 2: Convert to fraction form
698,164,006,303.75/1,047,246,009,455.70 = 698,164,006,303.75/x - Step 3: Cross multiply
698,164,006,303.75x = 1,047,246,009,455.70 × 698,164,006,303.75 - Step 4: Simplify right side
698,164,006,303.75x = 731,149,469,547,206,352,568,320 - Step 5: Solve for x
x = 731,149,469,547,206,352,568,320/698,164,006,303.75 - Step 6: Final answer
x = 1,047,246,009,455.70
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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.