Finding the Fourth Proportional to 10,167,735,482.32, 14,031,117,088.84 and 5,589,966,572.08
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Solution
The fourth proportional to 10,167,735,482.32, 14,031,117,088.84 and 5,589,966,572.08 is: 7,713,957,117.78
Step by Step Solution
- Step 1: Write the proportion equation
10,167,735,482.32 : 14,031,117,088.84 = 5,589,966,572.08 : x - Step 2: Convert to fraction form
10,167,735,482.32/14,031,117,088.84 = 5,589,966,572.08/x - Step 3: Cross multiply
10,167,735,482.32x = 14,031,117,088.84 × 5,589,966,572.08 - Step 4: Simplify right side
10,167,735,482.32x = 78,433,475,495,556,038,656 - Step 5: Solve for x
x = 78,433,475,495,556,038,656/10,167,735,482.32 - Step 6: Final answer
x = 7,713,957,117.78
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1.5x scale
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.