Finding the Fourth Proportional to 2,578,878,970.95, 3,558,865,031.81 and 1,465,106,180.79
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Solution
The fourth proportional to 2,578,878,970.95, 3,558,865,031.81 and 1,465,106,180.79 is: 2,021,853,376.38
Step by Step Solution
- Step 1: Write the proportion equation
2,578,878,970.95 : 3,558,865,031.81 = 1,465,106,180.79 : x - Step 2: Convert to fraction form
2,578,878,970.95/3,558,865,031.81 = 1,465,106,180.79/x - Step 3: Cross multiply
2,578,878,970.95x = 3,558,865,031.81 × 1,465,106,180.79 - Step 4: Simplify right side
2,578,878,970.95x = 5,214,115,154,677,110,784 - Step 5: Solve for x
x = 5,214,115,154,677,110,784/2,578,878,970.95 - Step 6: Final answer
x = 2,021,853,376.38
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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.