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Finding the Fourth Proportional to 473,513,931,000.90, 710,270,896,501.35 and 473,513,931,000.90

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Solution

The fourth proportional to 473,513,931,000.90, 710,270,896,501.35 and 473,513,931,000.90 is: 710,270,896,501.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,513,931,000.90 : 710,270,896,501.35 = 473,513,931,000.90 : x
  2. Step 2: Convert to fraction form
    473,513,931,000.90/710,270,896,501.35 = 473,513,931,000.90/x
  3. Step 3: Cross multiply
    473,513,931,000.90x = 710,270,896,501.35 × 473,513,931,000.90
  4. Step 4: Simplify right side
    473,513,931,000.90x = 336,323,164,277,887,666,749,440
  5. Step 5: Solve for x
    x = 336,323,164,277,887,666,749,440/473,513,931,000.90
  6. Step 6: Final answer
    x = 710,270,896,501.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.