Finding the Fourth Proportional to 870,023,859,913.75, 1,200,473,543,691.50 and 484,638,615,158.68
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Solution
The fourth proportional to 870,023,859,913.75, 1,200,473,543,691.50 and 484,638,615,158.68 is: 668,712,506,122.49
Step by Step Solution
- Step 1: Write the proportion equation
870,023,859,913.75 : 1,200,473,543,691.50 = 484,638,615,158.68 : x - Step 2: Convert to fraction form
870,023,859,913.75/1,200,473,543,691.50 = 484,638,615,158.68/x - Step 3: Cross multiply
870,023,859,913.75x = 1,200,473,543,691.50 × 484,638,615,158.68 - Step 4: Simplify right side
870,023,859,913.75x = 581,795,835,749,281,671,675,904 - Step 5: Solve for x
x = 581,795,835,749,281,671,675,904/870,023,859,913.75 - Step 6: Final answer
x = 668,712,506,122.49
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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.