Finding the Fourth Proportional to 7,101,311,563.84, 9,800,547,598.24 and 4,090,668,312.64
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Solution
The fourth proportional to 7,101,311,563.84, 9,800,547,598.24 and 4,090,668,312.64 is: 5,645,547,184.66
Step by Step Solution
- Step 1: Write the proportion equation
7,101,311,563.84 : 9,800,547,598.24 = 4,090,668,312.64 : x - Step 2: Convert to fraction form
7,101,311,563.84/9,800,547,598.24 = 4,090,668,312.64/x - Step 3: Cross multiply
7,101,311,563.84x = 9,800,547,598.24 × 4,090,668,312.64 - Step 4: Simplify right side
7,101,311,563.84x = 40,090,789,506,640,420,864 - Step 5: Solve for x
x = 40,090,789,506,640,420,864/7,101,311,563.84 - Step 6: Final answer
x = 5,645,547,184.66
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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.