Finding the Fourth Proportional to 1,403,865,843,876.20, 2,104,329,039,516.40 and 587,506,319,802
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Solution
The fourth proportional to 1,403,865,843,876.20, 2,104,329,039,516.40 and 587,506,319,802 is: 880,644,411,324.38
Step by Step Solution
- Step 1: Write the proportion equation
1,403,865,843,876.20 : 2,104,329,039,516.40 = 587,506,319,802 : x - Step 2: Convert to fraction form
1,403,865,843,876.20/2,104,329,039,516.40 = 587,506,319,802/x - Step 3: Cross multiply
1,403,865,843,876.20x = 2,104,329,039,516.40 × 587,506,319,802 - Step 4: Simplify right side
1,403,865,843,876.20x = 1,236,306,609,658,757,549,916,160 - Step 5: Solve for x
x = 1,236,306,609,658,757,549,916,160/1,403,865,843,876.20 - Step 6: Final answer
x = 880,644,411,324.38
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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.