Finding the Fourth Proportional to 698,164,006,252.55, 1,047,246,009,378.80 and 698,164,006,252.55
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Solution
The fourth proportional to 698,164,006,252.55, 1,047,246,009,378.80 and 698,164,006,252.55 is: 1,047,246,009,378.80
Step by Step Solution
- Step 1: Write the proportion equation
698,164,006,252.55 : 1,047,246,009,378.80 = 698,164,006,252.55 : x - Step 2: Convert to fraction form
698,164,006,252.55/1,047,246,009,378.80 = 698,164,006,252.55/x - Step 3: Cross multiply
698,164,006,252.55x = 1,047,246,009,378.80 × 698,164,006,252.55 - Step 4: Simplify right side
698,164,006,252.55x = 731,149,469,439,898,607,943,680 - Step 5: Solve for x
x = 731,149,469,439,898,607,943,680/698,164,006,252.55 - Step 6: Final answer
x = 1,047,246,009,378.80
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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.