Finding the Fourth Proportional to 40,865,609,159,688, 61,298,572,772,508 and 9,886,629,552,322.20
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Solution
The fourth proportional to 40,865,609,159,688, 61,298,572,772,508 and 9,886,629,552,322.20 is: 14,829,982,803,380.72
Step by Step Solution
- Step 1: Write the proportion equation
40,865,609,159,688 : 61,298,572,772,508 = 9,886,629,552,322.20 : x - Step 2: Convert to fraction form
40,865,609,159,688/61,298,572,772,508 = 9,886,629,552,322.20/x - Step 3: Cross multiply
40,865,609,159,688x = 61,298,572,772,508 × 9,886,629,552,322.20 - Step 4: Simplify right side
40,865,609,159,688x = 606,036,281,087,850,527,395,414,016 - Step 5: Solve for x
x = 606,036,281,087,850,527,395,414,016/40,865,609,159,688 - Step 6: Final answer
x = 14,829,982,803,380.72
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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.