Finding the Fourth Proportional to 1,592,408,962,686, 2,390,313,249,924.90 and 686,293,941,925.65
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Solution
The fourth proportional to 1,592,408,962,686, 2,390,313,249,924.90 and 686,293,941,925.65 is: 1,030,173,492,593.90
Step by Step Solution
- Step 1: Write the proportion equation
1,592,408,962,686 : 2,390,313,249,924.90 = 686,293,941,925.65 : x - Step 2: Convert to fraction form
1,592,408,962,686/2,390,313,249,924.90 = 686,293,941,925.65/x - Step 3: Cross multiply
1,592,408,962,686x = 2,390,313,249,924.90 × 686,293,941,925.65 - Step 4: Simplify right side
1,592,408,962,686x = 1,640,457,502,728,071,048,855,552 - Step 5: Solve for x
x = 1,640,457,502,728,071,048,855,552/1,592,408,962,686 - Step 6: Final answer
x = 1,030,173,492,593.90
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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.