Finding the Fourth Proportional to 1,403,865,843,886.40, 2,104,329,039,531.70 and 587,506,319,812.14
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Solution
The fourth proportional to 1,403,865,843,886.40, 2,104,329,039,531.70 and 587,506,319,812.14 is: 880,644,411,339.58
Step by Step Solution
- Step 1: Write the proportion equation
1,403,865,843,886.40 : 2,104,329,039,531.70 = 587,506,319,812.14 : x - Step 2: Convert to fraction form
1,403,865,843,886.40/2,104,329,039,531.70 = 587,506,319,812.14/x - Step 3: Cross multiply
1,403,865,843,886.40x = 2,104,329,039,531.70 × 587,506,319,812.14 - Step 4: Simplify right side
1,403,865,843,886.40x = 1,236,306,609,689,084,313,993,216 - Step 5: Solve for x
x = 1,236,306,609,689,084,313,993,216/1,403,865,843,886.40 - Step 6: Final answer
x = 880,644,411,339.58
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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.