Finding the Fourth Proportional to 822,892,943,060.58, 1,135,336,065,182.10 and 475,536,676,271.13
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Solution
The fourth proportional to 822,892,943,060.58, 1,135,336,065,182.10 and 475,536,676,271.13 is: 656,092,561,541.99
Step by Step Solution
- Step 1: Write the proportion equation
822,892,943,060.58 : 1,135,336,065,182.10 = 475,536,676,271.13 : x - Step 2: Convert to fraction form
822,892,943,060.58/1,135,336,065,182.10 = 475,536,676,271.13/x - Step 3: Cross multiply
822,892,943,060.58x = 1,135,336,065,182.10 × 475,536,676,271.13 - Step 4: Simplify right side
822,892,943,060.58x = 539,893,938,887,438,859,501,568 - Step 5: Solve for x
x = 539,893,938,887,438,859,501,568/822,892,943,060.58 - Step 6: Final answer
x = 656,092,561,541.99
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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.