Finding the Fourth Proportional to 3,210,219,207,148.40, 4,815,781,153,289 and 1,031,282,566,939.40
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Solution
The fourth proportional to 3,210,219,207,148.40, 4,815,781,153,289 and 1,031,282,566,939.40 is: 1,547,069,165,408.77
Step by Step Solution
- Step 1: Write the proportion equation
3,210,219,207,148.40 : 4,815,781,153,289 = 1,031,282,566,939.40 : x - Step 2: Convert to fraction form
3,210,219,207,148.40/4,815,781,153,289 = 1,031,282,566,939.40/x - Step 3: Cross multiply
3,210,219,207,148.40x = 4,815,781,153,289 × 1,031,282,566,939.40 - Step 4: Simplify right side
3,210,219,207,148.40x = 4,966,431,149,582,264,209,244,160 - Step 5: Solve for x
x = 4,966,431,149,582,264,209,244,160/3,210,219,207,148.40 - Step 6: Final answer
x = 1,547,069,165,408.77
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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.