Finding the Fourth Proportional to 1,566,248,625,191.40, 2,161,423,206,702.60 and 871,774,279,226.35
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Solution
The fourth proportional to 1,566,248,625,191.40, 2,161,423,206,702.60 and 871,774,279,226.35 is: 1,203,048,563,184.53
Step by Step Solution
- Step 1: Write the proportion equation
1,566,248,625,191.40 : 2,161,423,206,702.60 = 871,774,279,226.35 : x - Step 2: Convert to fraction form
1,566,248,625,191.40/2,161,423,206,702.60 = 871,774,279,226.35/x - Step 3: Cross multiply
1,566,248,625,191.40x = 2,161,423,206,702.60 × 871,774,279,226.35 - Step 4: Simplify right side
1,566,248,625,191.40x = 1,884,273,158,126,265,232,785,408 - Step 5: Solve for x
x = 1,884,273,158,126,265,232,785,408/1,566,248,625,191.40 - Step 6: Final answer
x = 1,203,048,563,184.53
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.