Finding the Fourth Proportional to 6,740,376,006.90, 10,106,532,931.95 and 3,475,202,502.90
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Solution
The fourth proportional to 6,740,376,006.90, 10,106,532,931.95 and 3,475,202,502.90 is: 5,210,725,411.28
Step by Step Solution
- Step 1: Write the proportion equation
6,740,376,006.90 : 10,106,532,931.95 = 3,475,202,502.90 : x - Step 2: Convert to fraction form
6,740,376,006.90/10,106,532,931.95 = 3,475,202,502.90/x - Step 3: Cross multiply
6,740,376,006.90x = 10,106,532,931.95 × 3,475,202,502.90 - Step 4: Simplify right side
6,740,376,006.90x = 35,122,248,540,753,920,000 - Step 5: Solve for x
x = 35,122,248,540,753,920,000/6,740,376,006.90 - Step 6: Final answer
x = 5,210,725,411.28
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1.5x scale
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.